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R1 = 5.00 Ω
R2 = 3.00 Ω
R3 = 6.00 Ω
R4 = 3.00 Ω
Vb = 2.50 Ω
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For the circuit shown above, determine the following:

1
Total resistance for the circuit
2
Current through R1
3
Current through R2
4
Potential difference across R3

A heating coil is designed to be used with a standard 120 V wall outlet. The wire used in the coil has the following characteristics:

ρ = 1.00 × 10-6Ω·m at 25.0°C    α = 5.00 × 10-4/°C    A = 2.00 × 10-4 m2

If the current to the coil is monitored, one finds that when the coil is at room temperature (25.0°C), the current to the coil is 1.00 A and that after the coil has been on for a long time, the final current is 0.900 A.

Determine the following:

5
Resistance of the coil at 25.0°C
6
Length of the wire used in the coil
7
Resistance of the coil at 50.0°C
8
Resistivity of the coil material at -10.0°C
9
Resistance of the coil when it has been on for a long time
10
Final temperature of the coil

The figure below shows a circuit and data collected with that circuit.

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Determine the following:

11
Emf of the cell
12
Terminal potential difference of the cell with S closed
13
Potential difference across R with S closed
14
Resistance of R
15
Internal resistance of the cell
16
Charge drifting through R in 10.0 s
17
Power delivered by the cell
18
Power consumed by R
19
Power consumed by r
20
Efficiency of the cell
21
Work done by the cell in 10.0 s

ε1 = ε2 = ε3 = 6.00 V
R1 = 4.00 Ω
R2 = 2.00 Ω
R3 = 8.00 Ω
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For the circuit shown in the figure above, determine the following

22
Current through R1
23
Current through R2
24
Current through R3
25
Voltage VC - VA
26
Pε1: the power supplied by ε1
27
PR1: the power dissipated by R1
28
Pε2: the power supplied by ε2
29
PR2: the power dissipated by R2
30
Pε3: the power supplied by ε3
31
PR3: the power dissipated by R3

R = 200 Ω
C = 10.0 μF
ε = 10.0 V
t = 0 when S is closed
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For the circuit shown above, determine the following:

32
Potential difference across R at t=0
33
Time constant
34
Current after one time constant
35
Charge on the capacitor after two time constants







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