A toroid is a solenoid bent into a ring shape. The magnetic field inside a toroid (between the inner radius R1 and outer radius R2) is non-uniform but can be calculated as B = μonI/2πr, where n is the number of turns, I is the current, and r is the distance from the center of the toroid. The magnetic field is zero inside the inner radius R1 and outside the outer radius R2, and non-zero but uniform inside the toroid between R1 and R2.
Unit 3 Magnetism and effect of currentMahesh Kumar
Unit 3 Magnetis and Effect of current.
Notes with derivation as well as important question are also marked for your convenience
Images are also attached..
Se hablará sobre el proceso del magnetismo, también abordaremos los subtemas de ley de Ampere, flujo magnético.
Se demostrará ecuaciones de estas leyes, así como también aplicaciones en la vida diaria con respecto a este tema.
As Europe's leading economic powerhouse and the fourth-largest hashtag#economy globally, Germany stands at the forefront of innovation and industrial might. Renowned for its precision engineering and high-tech sectors, Germany's economic structure is heavily supported by a robust service industry, accounting for approximately 68% of its GDP. This economic clout and strategic geopolitical stance position Germany as a focal point in the global cyber threat landscape.
In the face of escalating global tensions, particularly those emanating from geopolitical disputes with nations like hashtag#Russia and hashtag#China, hashtag#Germany has witnessed a significant uptick in targeted cyber operations. Our analysis indicates a marked increase in hashtag#cyberattack sophistication aimed at critical infrastructure and key industrial sectors. These attacks range from ransomware campaigns to hashtag#AdvancedPersistentThreats (hashtag#APTs), threatening national security and business integrity.
🔑 Key findings include:
🔍 Increased frequency and complexity of cyber threats.
🔍 Escalation of state-sponsored and criminally motivated cyber operations.
🔍 Active dark web exchanges of malicious tools and tactics.
Our comprehensive report delves into these challenges, using a blend of open-source and proprietary data collection techniques. By monitoring activity on critical networks and analyzing attack patterns, our team provides a detailed overview of the threats facing German entities.
This report aims to equip stakeholders across public and private sectors with the knowledge to enhance their defensive strategies, reduce exposure to cyber risks, and reinforce Germany's resilience against cyber threats.
Unit 3 Magnetism and effect of currentMahesh Kumar
Unit 3 Magnetis and Effect of current.
Notes with derivation as well as important question are also marked for your convenience
Images are also attached..
Se hablará sobre el proceso del magnetismo, también abordaremos los subtemas de ley de Ampere, flujo magnético.
Se demostrará ecuaciones de estas leyes, así como también aplicaciones en la vida diaria con respecto a este tema.
As Europe's leading economic powerhouse and the fourth-largest hashtag#economy globally, Germany stands at the forefront of innovation and industrial might. Renowned for its precision engineering and high-tech sectors, Germany's economic structure is heavily supported by a robust service industry, accounting for approximately 68% of its GDP. This economic clout and strategic geopolitical stance position Germany as a focal point in the global cyber threat landscape.
In the face of escalating global tensions, particularly those emanating from geopolitical disputes with nations like hashtag#Russia and hashtag#China, hashtag#Germany has witnessed a significant uptick in targeted cyber operations. Our analysis indicates a marked increase in hashtag#cyberattack sophistication aimed at critical infrastructure and key industrial sectors. These attacks range from ransomware campaigns to hashtag#AdvancedPersistentThreats (hashtag#APTs), threatening national security and business integrity.
🔑 Key findings include:
🔍 Increased frequency and complexity of cyber threats.
🔍 Escalation of state-sponsored and criminally motivated cyber operations.
🔍 Active dark web exchanges of malicious tools and tactics.
Our comprehensive report delves into these challenges, using a blend of open-source and proprietary data collection techniques. By monitoring activity on critical networks and analyzing attack patterns, our team provides a detailed overview of the threats facing German entities.
This report aims to equip stakeholders across public and private sectors with the knowledge to enhance their defensive strategies, reduce exposure to cyber risks, and reinforce Germany's resilience against cyber threats.
Explore our comprehensive data analysis project presentation on predicting product ad campaign performance. Learn how data-driven insights can optimize your marketing strategies and enhance campaign effectiveness. Perfect for professionals and students looking to understand the power of data analysis in advertising. for more details visit: https://bostoninstituteofanalytics.org/data-science-and-artificial-intelligence/
Opendatabay - Open Data Marketplace.pptxOpendatabay
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Empowering the Data Analytics Ecosystem: A Laser Focus on Value
The data analytics ecosystem thrives when every component functions at its peak, unlocking the true potential of data. Here's a laser focus on key areas for an empowered ecosystem:
1. Democratize Access, Not Data:
Granular Access Controls: Provide users with self-service tools tailored to their specific needs, preventing data overload and misuse.
Data Catalogs: Implement robust data catalogs for easy discovery and understanding of available data sources.
2. Foster Collaboration with Clear Roles:
Data Mesh Architecture: Break down data silos by creating a distributed data ownership model with clear ownership and responsibilities.
Collaborative Workspaces: Utilize interactive platforms where data scientists, analysts, and domain experts can work seamlessly together.
3. Leverage Advanced Analytics Strategically:
AI-powered Automation: Automate repetitive tasks like data cleaning and feature engineering, freeing up data talent for higher-level analysis.
Right-Tool Selection: Strategically choose the most effective advanced analytics techniques (e.g., AI, ML) based on specific business problems.
4. Prioritize Data Quality with Automation:
Automated Data Validation: Implement automated data quality checks to identify and rectify errors at the source, minimizing downstream issues.
Data Lineage Tracking: Track the flow of data throughout the ecosystem, ensuring transparency and facilitating root cause analysis for errors.
5. Cultivate a Data-Driven Mindset:
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Data Storytelling Workshops: Equip stakeholders with the skills to translate complex data findings into compelling narratives that drive action.
Benefits of a Precise Ecosystem:
Sharpened Focus: Precise access and clear roles ensure everyone works with the most relevant data, maximizing efficiency.
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Continuous Improvement: Data-driven performance management fosters a culture of learning and continuous improvement.
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By focusing on these precise actions, organizations can create an empowered data analytics ecosystem that delivers real value by driving data-driven decisions and maximizing the return on their data investment.
Adjusting primitives for graph : SHORT REPORT / NOTESSubhajit Sahu
Graph algorithms, like PageRank Compressed Sparse Row (CSR) is an adjacency-list based graph representation that is
Multiply with different modes (map)
1. Performance of sequential execution based vs OpenMP based vector multiply.
2. Comparing various launch configs for CUDA based vector multiply.
Sum with different storage types (reduce)
1. Performance of vector element sum using float vs bfloat16 as the storage type.
Sum with different modes (reduce)
1. Performance of sequential execution based vs OpenMP based vector element sum.
2. Performance of memcpy vs in-place based CUDA based vector element sum.
3. Comparing various launch configs for CUDA based vector element sum (memcpy).
4. Comparing various launch configs for CUDA based vector element sum (in-place).
Sum with in-place strategies of CUDA mode (reduce)
1. Comparing various launch configs for CUDA based vector element sum (in-place).
2. Magnetic Field Due To Toroid
Toroid is a solenoid
bent in ring shape
𝐑𝟏
𝐑𝟐
In the empty space surrounded by
Toroid (r < R1)
ර 𝐁 ∙ 𝐝Ԧ
l = 𝛍𝐨𝐈𝐞𝐧𝐜
𝐈𝐞𝐧𝐜 = 0
𝐁 = 0
𝒓
𝐀
POINT - A
3. Magnetic Field Due To Toroid
Outside the Toroid (r > R2)
ර 𝐁 ∙ 𝐝Ԧ
l = 𝛍𝐨𝐈𝐞𝐧𝐜
𝐈𝐞𝐧𝐜 = NI – NI = 0
𝐁 = 0
𝐑𝟏
𝐑𝟐
𝒓
POINT - B
𝐁
4. Magnetic Field Due To Toroid
Inside the Toroid (R1 ≤ r ≤ R2)
ර 𝐁 ∙ 𝐝Ԧ
l = 𝛍𝐨𝐈𝐞𝐧𝐜
𝐑𝟏
𝐑𝟐
𝒓
POINT - C
𝐂
ර 𝐁𝐝l = 𝛍𝐨(𝐍𝐈)
𝐁 𝟐𝛑𝐫 = 𝛍𝐨(𝐍𝐈)
𝐁 = 𝛍𝐨𝐧𝐈
𝐁 = 𝛍𝐨
𝐍
𝟐𝛑𝐫 I
5. Magnetic Field Due To Toroid
Inside the Toroid (R1 ≤ r ≤ R2)
𝐑𝟏
𝐑𝟐
𝒓
POINT - C
𝐂
If r is not given, then for magnetic field
inside the toroid
𝐧 =
𝐍
𝟐𝛑𝐫𝐦
𝐫𝐦 =
𝐑𝟏 + 𝐑𝟐
𝟐
Mean
Radius
𝐁 = 𝛍𝐨𝐧𝐈
6. A toroid has a core of inner radius 24 cm and outer radius 26 cm with total
number of turns N = 1000. It current in wire is 10 A, find out the magnetic
field-
1. Outside the toroid
2. Inside the toroid core
3. In the empty space surrounded by toroid
Example
Example
𝐒𝐨𝐥𝐮𝐭𝐢𝐨𝐧
𝐒𝐨𝐥𝐮𝐭𝐢𝐨𝐧
7. 𝐑𝟏
𝐑𝟐
Magnetic field of toroid is non uniform because at each point direction
of magnetic field is not same.
Among many other uses like
solenoid, it is used to generate
concentric circular magnetic field
lines in laboratories.
9. v
B
θ
Motion of Charge Particle in External Magnetic Field
It experiences a force, given by-
Ԧ
𝐅 = 𝐪(𝐯 × 𝐁)
F= qvB sinθ
When a charged particle moves in an external magnetic field B with a
non-zero velocity v.
10. If v = 0, then F = qvB sinθ = 0.
So, there will be no magnetic force on stationary charge.
Magnetic force depends on angle between v and 𝐁
v
B
𝐂𝐚𝐬𝐞 −2 :
𝛉 = 𝟗𝟎°
𝐅𝐦𝐚𝐱 = 𝐪𝐯𝐁
𝐂𝐚𝐬𝐞 −𝟏 :
𝛉 = 𝟎° 𝐨𝐫 𝟏𝟖𝟎°
𝐅 = 𝟎
v
B
v
B
(θ can vary from 0° to 180°)
11. Right hand thumb rule :
Right hand thumb rule :
Direction of force
Direction of force
Point the fingers of right hand in the direction of v,
and curl them towards 𝐁 then thumb will give the direction of v × 𝐁
For force on negative charge, just reverse the final direction.
Note
12. Work done by magnetic
field on any charge is
always ZERO!!
Work done by magnetic
field on any charge is
always ZERO!!
Ԧ
𝐅 ∙ 𝐯 = 0
𝚫𝐊𝐄 = 0
v
B
θ
Ԧ
𝐅 ⊥ 𝐯 Ԧ
𝐅 ⊥ 𝐁
Power :
Power :
Ԧ
𝐅 ∙ 𝐝Ԧ
𝐬 = 0
Work :
Work :
Important
Ԧ
𝐅 = 𝐪(𝐯 × 𝐁)
We know that
13. Find the direction of force in each case.
Example
Example
v
I
x
(a)
v
I
x
(b)
𝐒𝐨𝐥𝐮𝐭𝐢𝐨𝐧
𝐒𝐨𝐥𝐮𝐭𝐢𝐨𝐧
14. In presence of external Magnetic field (only)-
1. Can speed of a moving charge change?
2. Can direction of a moving charge change?
3. Can velocity of a moving charge change?
4. Can a stationary charge start moving?
Example
Example
𝐒𝐨𝐥𝐮𝐭𝐢𝐨𝐧
𝐒𝐨𝐥𝐮𝐭𝐢𝐨𝐧
15. A particle has charge +2C and it moves with velocity 𝟐 Ƹ
𝐢 + 𝟑 Ƹ
𝐣 + መ
𝐤 𝐦/𝐬. It
enters a magnetic field Ƹ
𝐢 − 𝟒 Ƹ
𝐣 − መ
𝐤 𝐓. Find the force due to magnetic field
applied on it.
Example
Example
𝐒𝐨𝐥𝐮𝐭𝐢𝐨𝐧
𝐒𝐨𝐥𝐮𝐭𝐢𝐨𝐧
16. B
Find the direction in which charged particle will experience force.
Example
Example
𝐒𝐨𝐥𝐮𝐭𝐢𝐨𝐧
𝐒𝐨𝐥𝐮𝐭𝐢𝐨𝐧
17. B
Find the direction in which charged particle will experience force.
Example
Example
𝐒𝐨𝐥𝐮𝐭𝐢𝐨𝐧
𝐒𝐨𝐥𝐮𝐭𝐢𝐨𝐧
18. B
1
2
3
From the path followed, identify nature of charge on the particle.
Example
Example
𝐒𝐨𝐥𝐮𝐭𝐢𝐨𝐧
𝐒𝐨𝐥𝐮𝐭𝐢𝐨𝐧
19. Example
Example
A current of 2A is flowing through a coil of radius 10 cm. A proton is
moving in the plane of coil with speed of 𝟓 × 𝟏𝟎𝟒 m/s then find force on
the charge particle when it passes through its centre.
𝐒𝐨𝐥𝐮𝐭𝐢𝐨𝐧
𝐒𝐨𝐥𝐮𝐭𝐢𝐨𝐧
20. Find the acceleration of charged particle
when it is at r distance from wire.
Example
Example
𝐒𝐨𝐥𝐮𝐭𝐢𝐨𝐧
𝐒𝐨𝐥𝐮𝐭𝐢𝐨𝐧
(q, m)
v
I
21. Find force on particle (q, m) due to magnetic field.
Example
Example
𝐒𝐨𝐥𝐮𝐭𝐢𝐨𝐧
𝐒𝐨𝐥𝐮𝐭𝐢𝐨𝐧
𝐯
I
𝟑𝐑
1. 𝐯
I
𝟑𝐑
2.
𝐑 𝐑
