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Transcript 
Resistor Circuit (1)
Consider the two resistor circuits shown.
(a) Find the resistance R1 .
(b) Find the emf E1 .
(c) Find the resistance R2 .
(d) Find the emf E2 .
1Ω
2A
1A
2Ω
R1
ε1
1Ω
1A
2A
6Ω
R2
ε2
tsl148 – p.1/8
Resistor Circuit (2)
Consider the two resistor circuits shown.
(a) Find the resistance R1 .
(b) Find the current I1 .
(c) Find the resistance R2 .
(d) Find the current I2 .
1Ω
3A
I1
6Ω
12V
R1
I2
R2
3A
3Ω
2Ω
12V
tsl149 – p.2/8
Resistor Circuit (3)
Consider the rsistor and capacitor circuits shown.
(a) Find the equivalent resistance Req .
(b) Find the power P2 , P3 , P4 dissipated in each resistor.
(c) Find the equivalent capacitance Ceq .
(d) Find the energy U2 , U3 , U4 stored in each capacitor.
4Ω
2Ω
3Ω
12V
2nF
4nF
3nF
12V
tsl150 – p.3/8
Resistor Circuit (4)
Consider the resistor circuit shown.
(a) Find the direction of the current I (cw/ccw).
(b) Find the magnitude of the current I.
(c) Find the voltage Vab = Vb − Va .
(d) Find the voltage Vcd = Vd − Vc .
c
d
12V
1Ω
1Ω
2Ω
b
a
tsl151 – p.4/8
Resistor Circuit (5)
Consider the resistor circuit shown.
(a) Find the direction (cw/ccw) of the current I in the loop.
(b) Find the magnitude of the current I in the loop.
(c) Find the potential difference Vab = Vb − Va .
(d) Find the voltage Vcd = Vd − Vc .
a
d
2Ω
12V
7Ω
3Ω
4Ω
b
4V
c
tsl152 – p.5/8
Resistor Circuit (6)
Consider the resistor circuit shown.
(a) Guess the current direction (cw/ccw).
(b) Use the loop rule to determine the current.
(c) Find Vab ≡ Vb − Va along two different paths.
b
1Ω
18V
2Ω
6V
1Ω
24V
12V
2Ω
a
tsl153 – p.6/8
Resistor Circuit (7)
Consider two 24V batteries with internal resistances (a) r = 4Ω, (b) r = 2Ω.
• Which setting of the switch (L/R) produces the larger power dissipation in the
resistor on the side?
L
R
L
24V
24V
2Ω
4Ω
4Ω
R
4Ω
2Ω
2Ω
(a)
(b)
tsl155 – p.7/8
Resistor Circuit (8)
Consider the circuit of resistors shown.
• Find the equivalent resistance Req .
• Find the currents I1 , . . . , I5 through each resistor and the voltages V1 , . . . , V5
across each resistor.
• Find the total power P dissipated in the circuit.
R 1 = 6Ω
R3 = 4Ω
R 2 = 12Ω
R 4 = 3Ω
R 5 = 5Ω
ε = 12V
tsl157 – p.8/8
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