Problem 1 (20 pts): Assume the two op amps are ideal. (a) Write an equation for the output voltage, vo, in terms of the input voltage, vi, and the three resistors R1, R2, and R3. [5 points] (b) Select resistors R1, R2, and R3 such that |vo| = 100|vi|. [5 points] (c) Suppose both op amps have ±25 V supply voltages and the resistors satisfy part (b). What is the maximum input voltage for which this amplifier remains in the linear region (i.e., the op amps do not saturate)? [5 points] (d) What sort of amplifier is this (inverting, noninverting, neither)? [5 points] 2 Problem 2 (30 pts): Consider the following circuit. Find both the Thévenin and Norton equivalent with respect to terminals a and b. Be sure to label which is which. 3 Problem 3 (30 pts): The switch in the circuit below has been closed for a long time before it opens at time t = 0. (a) Find v(t) for t > 0. [15 points] (b) Find i(t) for t > 0. [15 points] 4 Problem 4 (20 pts): In the circuit below, the switch has been closed for a very long time before it opens at time t = 0. Find the voltage v(t) for t ≥ 0. You may assume an ideal op amp with ±20 V supplies. 5 Brooklyn Presbyterian Hospital (BPH) Hospital  re-­‐admission  rates  through  6/30/2012 Description  of  measures  below: Measures  of  30-­‐day  death  (mortality)  show  when  patients  die,  for  any  reason,  within  30  days  of  admission  to  a  hospital. BPH U.S.  NATIONAL  RATE Rate  of  unplanned  readmission  for  heart  attack  patients No  Different  than  U.S.  National  Rate 18.30% Death  rate  for  heart  attack  patients No  Different  than  U.S.  National  Rate 15.20% Rate  of  unplanned  readmission  for  heart  failure  patients Worse  than  U.S.  National  Rate 23.00% Death  rate  for  heart  failure  patients No  Different  than  U.S.  National  Rate 11.70% Rate  of  unplanned  readmission  for  pneumonia  patients Worse  than  U.S.  National  Rate 17.60% Death  rate  for  pneumonia  patients No  Different  than  U.S.  National  Rate 11.90% Rate  of  unplanned  readmission  after  hip/knee  surgery No  Different  than  U.S.  National  Rate 5.40% Rate  of  unplanned  readmission  after  discharge  from  hospital  (hospital-­‐wide) Worse  than  U.S.  National  Rate 16.00% Below,  each  hospital's  performance  on  the  death  (mortality)  and  unplanned  readmission  measures  is  compared  to  the  U.S.  national   observed  rates  for  those  measures.  The  performance  results  take  into  account  how  sick  patients  were  before  they  were  admitted  to  the   hospital. Measures  of  30-­‐day  unplanned  readmi ...

1. Problem 1 (20 pts): Assume the two op amps are ideal.
(a) Write an equation for the output voltage, vo, in terms of the
input voltage, vi, and
the three resistors R1, R2, and R3. [5 points]
(b) Select resistors R1, R2, and R3 such that |vo| = 100|vi|. [5
points]
(c) Suppose both op amps have ±25 V supply voltages and the
resistors satisfy part (b).
What is the maximum input voltage for which this amplifier
remains in the linear
region (i.e., the op amps do not saturate)? [5 points]
(d) What sort of amplifier is this (inverting, noninverting,
neither)? [5 points]
2
Problem 2 (30 pts): Consider the following circuit. Find both
the Thévenin and Norton
equivalent with respect to terminals a and b. Be sure to label
which is which.
3
Problem 3 (30 pts): The switch in the circuit below has been

2. closed for a long time
before it opens at time t = 0.
(a) Find v(t) for t > 0. [15 points]
(b) Find i(t) for t > 0. [15 points]
4
Problem 4 (20 pts): In the circuit below, the switch has been
closed for a very long time
before it opens at time t = 0. Find the voltage v(t) for t ≥ 0. You
may assume an ideal op
amp with ±20 V supplies.
5
Brooklyn Presbyterian Hospital (BPH)
Hospital
re-­‐admission
rates
through
6/30/2012
Description
of
measures
below:
Measures
of

3. 30-­‐day
death
(mortality)
show
when
patients
die,
for
any
reason,
within
30
days
of
admission
to
a
hospital.
BPH U.S.
NATIONAL
RATE
Rate
of
unplanned
readmission
for
heart
attack
patients No
Different
than
U.S.
National
Rate 18.30%
Death

4. rate
for
heart
attack
patients No
Different
than
U.S.
National
Rate 15.20%
Rate
of
unplanned
readmission
for
heart
failure
patients Worse
than
U.S.
National
Rate 23.00%
Death
rate
for
heart
failure
patients No
Different
than
U.S.
National
Rate 11.70%
Rate
of
unplanned

5. readmission
for
pneumonia
patients Worse
than
U.S.
National
Rate 17.60%
Death
rate
for
pneumonia
patients No
Different
than
U.S.
National
Rate 11.90%
Rate
of
unplanned
readmission
after
hip/knee
surgery No
Different
than
U.S.
National
Rate 5.40%
Rate
of
unplanned
readmission
after
discharge

6. from
hospital
(hospital-­‐wide) Worse
than
U.S.
National
Rate 16.00%
Below,
each
hospital's
performance
on
the
death
(mortality)
and
unplanned
readmission
measures
is
compared
to
the
U.S.
national
observed
rates
for
those
measures.
The
performance
results
take

7. into
account
how
sick
patients
were
before
they
were
admitted
to
the
hospital.
Measures
of
30-­‐day
unplanned
readmission
show
when
patients
who
have
had
a
recent
hospital
stay
need
to
go
back
into
a

8. hospital
again
for
unplanned
care
within
30
days
of
their
initial
discharge.
Patients
who
are
admitted
to
the
hospital
for
treatment
of
medical
problems
sometimes
get
other
serious
injuries,
complications,
or
conditions,
and

9. may
even
die.
Some
patients
may
experience
problems
soon
after
they
are
discharged
and
need
to
be
admitted
to
the
hospital
again.
These
events
can
often
be
prevented
if
hospitals
follow
best
practices
for
treating

10. patients.
Readmissions,
Complications
and
Deaths:
Brooklyn Presbyterian Hospital Acute Inpatient Hospital
Admissions Payment Policy
Please Note: The policy described below is hypothetical.
Purpose of the Billing Process
The purpose of the hospital billing process is to obtain
reimbursement for services and items rendered by the hospital.
Reimbursement is received from patients, insurance carriers,
and government programs. The hospital billing process begins
when a patient arrives at the hospital for diagnosis and
treatment of an injury, illness, disease, or condition. The
patient’s demographic and insurance information is obtained
and registered in the hospital’s information system. Physician’s
orders or a requisition outlines the patient care services
required. Patient care services and items provided during the
patient’s stay are recorded on the patient’s account. Charges are
posted to the patient’s account by various departments. When
the patient leaves the hospital, all information and charges are
prepared for billing.
Definition
An acute inpatient hospital is a facility licensed as a hospital by
the State Department of Public Health. This type of facility
makes diagnosis and treatment available and offers provider
services 24 hours a day but does not include any facility
licensed as a chronic disease and rehabilitation hospital; any
hospital licensed primarily to provide mental health services; or

11. any unit of a facility licensed as a nursing facility, chronic
disease unit, or rehabilitation unit.
An inpatient admission is a member’s admission to a hospital
for the purpose of receiving inpatient services.
Authorization Requirements
The rate of payment is determined by the effective date of a
member’s inpatient admission and applies for the length of the
admission (i.e., any rate change under the contract during the
member’s stay will not apply). We require notification for
emergency inpatient admissions.
We require prior authorization 5 business days prior to an
elective admission.
We require notification through an emergency services provider
for all behavioral health inpatient admissions.
Billing and Reimbursement
Providers must file a claim for hospital inpatient services
through an 837i HIPAA-compliant file or on a 1234A form,
using industry standard revenue codes.
An inpatient reimbursement rate is the rate in effect on the date
a member begins an inpatient admission. The inpatient
reimbursement rate includes all services a member receives
during an inpatient admission, as applicable (see our Hospital
Hierarchy Payment Policy). We will only reimburse for the
portion of a patient's stay during which they were enrolled as a
Health Plan—Network Health member.
Hospital Newborn Services
We reimburse for inpatient services for well newborns. With
prior authorization, we reimburse for inpatient services for

12. boarder babies and newborns admitted to a neonatal intensive-
care unit (see our Hospital Newborn Services Payment Policy).
Provider Preventable Conditions and Serious Reportable Events
We do not reimburse for provider preventable conditions or
serious reportable events (see our Provider Preventable
Conditions and Serious Reportable Events Payment Policy).
Adapted from:
Tufts Health Public Plans. (2015). Acute inpatient hospital
admissions payment policy. Retrieved from https://network-
health.org/Providers/Policies-and-Manuals/Payment-
Policies/Acute-Inpatient-Hospital-Admissions-Payment-
Policy.aspx
©2015 Walden University
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