Practice Questions

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R₁ = 5.00 Ω
R₂ = 3.00 Ω
R₃ = 6.00 Ω
R₄ = 3.00 Ω
V_b = 2.50 Ω

For the circuit shown above, determine the following:


1			Total resistance for the circuit Need a Hint?




2			Current through R₁ Need a Hint?




3			Current through R₂ Need a Hint?




4			Potential difference across R₃ Need a Hint?

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 Need a Hint?




6			Length of the wire used in the coil Need a Hint?




7			Resistance of the coil at 50.0°C Need a Hint?




8			Resistivity of the coil material at -10.0°C Need a Hint?




9			Resistance of the coil when it has been on for a long time Need a Hint?




10			Final temperature of the coil Need a Hint?

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

Determine the following:


11			Emf of the cell Need a Hint?




12			Terminal potential difference of the cell with S closed Need a Hint?




13			Potential difference across R with S closed Need a Hint?




14			Resistance of R Need a Hint?




15			Internal resistance of the cell Need a Hint?




16			Charge drifting through R in 10.0 s Need a Hint?




17			Power delivered by the cell Need a Hint?




18			Power consumed by R Need a Hint?




19			Power consumed by r Need a Hint?




20			Efficiency of the cell Need a Hint?




21			Work done by the cell in 10.0 s Need a Hint?

ε₁ = ε₂ = ε₃ = 6.00 V
R₁ = 4.00 Ω
R₂ = 2.00 Ω
R₃ = 8.00 Ω

For the circuit shown in the figure above, determine the following


22			Current through R₁ Need a Hint?




23			Current through R₂ Need a Hint?




24			Current through R₃ Need a Hint?




25			Voltage V_C - V_A Need a Hint?




26			P_ε1: the power supplied by ε₁ Need a Hint?




27			P_R1: the power dissipated by R₁ Need a Hint?




28			P_ε2: the power supplied by ε₂ Need a Hint?




29			P_R2: the power dissipated by R₂ Need a Hint?




30			P_ε3: the power supplied by ε₃ Need a Hint?




31			P_R3: the power dissipated by R₃ Need a Hint?

R = 200 Ω
C = 10.0 μF
ε = 10.0 V
t = 0 when S is closed

For the circuit shown above, determine the following:


32			Potential difference across R at t=0 Need a Hint?




33			Time constant Need a Hint?




34			Current after one time constant Need a Hint?




35			Charge on the capacitor after two time constants Need a Hint?

Your Results:

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