Download Combination Circuits HW- Resistors and Capacitors

Combination Circuits HW- Resistors and Capacitors
Name__________
Example Problem
1. Two resistors, A and B are connected in a series to a 6.0 V battery. A voltmeter
connected across resistor A measures 4.0 V. When the two resistors are connected in
parallel to the same battery, the current is resistor B is found to be 2.0 Amp. Find the
resistances of A and B.
2. Draw a diagram of nine 100 Ω resistors arranged in a series-parallel network so that the
total resistance of the network is also 100 Ω. All nine resistors must be used.
3. For the circuit below, find the following:
A. The equivalent resistance of the circuit
B. The current in the 5 Ω resistor.
Answer: Req=14 ohms, current is 2.0 amps
4. The power supplied to the circuit shown below is 4.00 W. Determine the following:
a. The equivalent resistance of the circuit
b. The voltage across the battery
Answers: R total=5.14 Ω. Voltage=4.54 V
5. Eight different values of resistance can be obtained by connecting together three
resistors (1.0 Ω, 2.0 Ω, and 3.0 Ω) in all possible ways. Draw and calculate all eight ways.
6. Remember from our lab that a capacitor charges according to the equation
q=q0(1-e -(t/(RC))
where q0 is the equilibrium charge that accumulates over a long time.
How many time constants must elapse before a capacitor in a series RC circuit is
charges to 80.0% of its equilibrium charge?
Answer: Time=1.6 time constants
7. Three capacitors (4.0, 6.0 and 12.0 μF) are connected in series across a 50.0 V battery.
Find the voltage across the 4.0 μF capacitor. ( Hint: each capacitor in a series circuit will
have the same Q, Q=CV for a capacitor)
Answer: 25 V