1) Three resistors of value 1.0 ohms, 2.0 ohms, and 4.0 ohms are connected in a

Question

1) Three resistors of value 1.0 ohms, 2.0 ohms, and 4.0 ohms are connected in a parallel circuit with a 6.0 V battery.

a) What is the total equivalent resistance?
b) What is the across each resistor?

c) The power delivered to the 4.0 ohm resistor?

2) What is the equivalent capacitance of two capacitors of 0.40 uF and 0.60 uF when they are connected in:

a) series?
b) parallel?

3) Three capacitors of equal capacitance are connected in parallel to a battery, and together they draw a certain amount of charge Q from that battery.

a) Will the charge on each capacitor be

1) Q
2) 3Q
3) Q/3?

b) Three capacitors of 0.25 uF each in parallel connected to a 12- V battery. What is the charge on each capacitor?

c) How much charge is drawn from the battery?

Explanation / Answer

1)

1/ R eq = 1/2 + 1/4 + 1/1

R eq = 0.571 Ohms

Current across 1 ohm = 6/1 = 6 Amp

Current across 2 Ohms = 6/2 = 3 A

Current across 4 ohms = 6/4 = 1.5 A

Power in 4 ohm = V^2 / R = 6^2/4 = 9 W

2) Series C eq = 0.4 * 0.6 / ( 0.4 + 0.6) = 0.24 uF

Parallel C eq = 0.4 + 0.6 = 1 uF

3)

C eq = C + C + C = 3 C

Q = C eq * V = 3 CV = 3 Q

C = 0.25 uF

Q = C* V = 0.25 *10^-6 * 12 = 3 * 10^-6 C = 3 uC

Charge drawn from battery = Ceq * V = 3 C * v = 3 * 0.25 * 10^-6 * 12 = 12 uC = 12 * 10^-6 C

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