1. In the circuits shown in Figure below, the batteries have negligible internal resistance. Find (a) the current in each branch of the circuit, (b) the potential difference between point a and point b, (c) the power supplied by each battery. 120v 500 V 3000

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1. In the circuits shown in Figure below, the batteries have negligible internal resistance. Find (a)
the current in each branch of the circuit, (b) the potential difference between point a and point b,
(c) the power supplied by each battery.
70V
120v
6.00
120
500 V
1002
3.000
2. In the circuit shown in Figure bellow, the capacitor has a capacitance of 2.5 µFand the resistor
has a resistance of 0.5 M. Before the switch is closed, the potential drop across the capacitor is
12V, as shown. Switch S is closed at t=0. (a) What is the current in R immediately after switch S
is closed? (b) At what time t is the voltage across the capacitor
24 V?
3. Two batteries with emfs 1 and 5 2 and internal resistances r, and ra are connected in parallel.
Prove that if a resistor is connected in parallel with this combination the optimal load resistance
(the resistance at which maximum power is delivered) is R=rir/(ri+r2).
4. Capacitors Ci and C2 are connected in parallel by a resistor and two switches, as shown in Figure.
Capacitor C, is initially charged to a voltage Vo, and capacitor C, is uncharged. The switches S,
and S2 are then closed. (a) What are the final charges on C, and C,? (b) Compare the initial and
final stored energies of the system. (c) What caused the decrease in the capacitor-stored energy?
Transcribed Image Text:1. In the circuits shown in Figure below, the batteries have negligible internal resistance. Find (a) the current in each branch of the circuit, (b) the potential difference between point a and point b, (c) the power supplied by each battery. 70V 120v 6.00 120 500 V 1002 3.000 2. In the circuit shown in Figure bellow, the capacitor has a capacitance of 2.5 µFand the resistor has a resistance of 0.5 M. Before the switch is closed, the potential drop across the capacitor is 12V, as shown. Switch S is closed at t=0. (a) What is the current in R immediately after switch S is closed? (b) At what time t is the voltage across the capacitor 24 V? 3. Two batteries with emfs 1 and 5 2 and internal resistances r, and ra are connected in parallel. Prove that if a resistor is connected in parallel with this combination the optimal load resistance (the resistance at which maximum power is delivered) is R=rir/(ri+r2). 4. Capacitors Ci and C2 are connected in parallel by a resistor and two switches, as shown in Figure. Capacitor C, is initially charged to a voltage Vo, and capacitor C, is uncharged. The switches S, and S2 are then closed. (a) What are the final charges on C, and C,? (b) Compare the initial and final stored energies of the system. (c) What caused the decrease in the capacitor-stored energy?
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