3. L
Total charge of rod is Q
Uniform Charged rod has L length
Uniform Charged rod has total charge Q
4. L
Total charge of rod is Q
P
Uniform Charged rod has L length
Uniform Charged rod has total charge Q
P is a point located along the long axis of charged rod
5. L
Total charge of rod is Q
P
a
Uniform Charged rod has L length
Uniform Charged rod has total charge Q
P is a point located along the long axis of charged rod
a is a distance from one end to point P
6. L
Total charge of rod is Q
P
a
Uniform Charged rod has L length
Uniform Charged rod has total charge Q
P is a point located along the long axis of charged rod
a is a distance from one end to point P
λ is charge density of charged rod
7. Uniform Charged rod has L length
L
Uniform Charged rod has total charge Q
Total charge of rod is Q
P is a point located along the long axis of charged rod
P
a is a distance from one end to point P
a
λ is charge density of charged rod
Solution:
8. Uniform Charged rod has L length
L
Uniform Charged rod has total charge Q
Total charge of rod is Q
P is a point located along the long axis of charged rod
P
a is a distance from one end to point P
a
λ is charge density of charged rod
Solution:
Let the charged rod lying on X-axis
X - axis
9. Uniform Charged rod has L length
L
Uniform Charged rod has total charge Q
Total charge of rod is Q
P is a point located along the long axis of charged rod
P
a is a distance from one end to point P
a
λ is charge density of charged rod
Solution:
Let the charged rod lying on X-axis
X - axis
Take a small charged segment from
charged rod
dq is charge of small segment
Y - axis
Charge of small segment is dq
Small charged segment
10. Uniform Charged rod has L length
L
Uniform Charged rod has total charge Q
Total charge of rod is Q
P is a point located along the long axis of charged rod
P
a is a distance from one end to point P
a
λ is charge density of charged rod
Solution:
Let the charged rod lying on X-axis
X - axis
Take a small charged segment from
charged rod
dq is charge of small segment
dx is length of small segment
Y - axis
Charge of small segment is dq
dx
Small charged segment
11. Uniform Charged rod has L length
L
Uniform Charged rod has total charge Q
Total charge of rod is Q
P is a point located along the long axis of charged rod
P
a is a distance from one end to point P
a
λ is charge density of charged rod
Solution:
Let the charged rod lying on X-axis
X - axis
Take a small charged segment from
charged rod
dq is charge of small segment
dx is length of small segment
X is length from small segment to P
Y - axis
Small charged segment
Charge of small segment is dq
dx
X
12. Uniform Charged rod has L length
L
Uniform Charged rod has total charge Q
Total charge of rod is Q
P is a point located along the long axis of charged rod
P
a is a distance from one end to point P
a
λ is charge density of charged rod
Solution:
Let the charged rod lying on X-axis
X - axis
Take a small charged segment from
charged rod
dq is charge of small segment
dx is length of small segment
X is length from small segment to P
dE is electric field at P due to small
segment
Y - axis
Small charged segment
Charge of small segment is dq
dx
XE
dE
13. Uniform Charged rod has L length
L
Uniform Charged rod has total charge Q
Total charge of rod is Q
P is a point located along the long axis of charged rod
P
a is a distance from one end to point P
a
λ is charge density of charged rod
Solution:
Let the charged rod lying on X-axis
X - axis
Take a small charged segment from
charged rod
dq is charge of small segment
dx is length of small segment
X is length from small segment to P
dE is electric field at P due to small
segment
dE = k dq /X²
Y - axis
Small charged segment
Charge of small segment is dq
dx
XE
dE
14. Uniform Charged rod has L length
L
Uniform Charged rod has total charge Q
Total charge of rod is Q
P is a point located along the long axis of charged rod
P
a is a distance from one end to point P
a
λ is charge density of charged rod
Solution:
Let the charged rod lying on X-axis
X - axis
Take a small charged segment from
charged rod
dq is charge of small segment
dx is length of small segment
X is length from small segment to P
dE is electric field at P due to small
segment
dE = k dq /X² = k λ dx / X²
Y - axis
Small charged segment
Charge of small segment is dq
dx
XE
dE
15. Uniform Charged rod has L length
L
Uniform Charged rod has total charge Q
Total charge of rod is Q = λ L
P is a point located along the long axis of charged rod
P
a is a distance from one end to point P
a
λ is charge density of charged rod
Solution:
Let the charged rod lying on X-axis
X - axis
Take a small charged segment from
charged rod
dq is charge of small segment
dx is length of small segment
X is length from small segment to P
dE is electric field at P due to small
segment
dE = k dq /X² = k λ dx / X²
Y - axis
Small charged segment
Charge of small segment is dq = λ dx
dx
XE
dE
16. Uniform Charged rod has L length
L
Uniform Charged rod has total charge Q
Total charge of rod is Q = λ L
P is a point located along the long axis of charged rod
P
a is a distance from one end to point P
a
λ is charge density of charged rod
Solution:
Let the charged rod lying on X-axis
X - axis
Take a small charged segment from
charged rod
dq is charge of small segment
dx is length of small segment
X is length from small segment to P
dE is electric field at P due to small
segment
dE = k dq /X² = k λ dx / X²
Integration to obtain on E
Y - axis
Small charged segment
Charge of small segment is dq = λ dx
dx
XE
dE
17. Uniform Charged rod has L length
L
Uniform Charged rod has total charge Q
Total charge of rod is Q = λ L
P is a point located along the long axis of charged rod
P
a is a distance from one end to point P
a
λ is charge density of charged rod
Solution:
Let the charged rod lying on X-axis
X - axis
Take a small charged segment from
charged rod
dq is charge of small segment
dx is length of small segment
X is length from small segment to P
dE is electric field at P due to small
segment
dE = k dq /X² = k λ dx / X²
Integration to obtain on E
Y - axis
Small charged segment
Charge of small segment is dq = λ dx
dx
XE
dE
