Question

Answer the following questions based on the circuit in Fig. 8. (a) When switches S and S2 are open, the ammeter reading is 0.6 A and voltmeter reading is 2.4 v calculate . the resistance of the lamp; (b) Compare the brightness of the lamp when both switches are open as in (a) and when only switch (c) Compare the brightness of the lamp when both switches are open as in (a) and when both (d) For R2=4 Ω, if switch Sı is opened but switch S2 is closed, what is ammeter reading? What is the resistance of R1. S, is closed. Give a quantitative explanation. switches Si and S2 are closed. Give a quantitative explanation voltmeter reading? S1 S: R Rj Figure 8

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Answer #1

a)The voltage across lamp is:

V = 2.4 V

since S2 is open, current flows through lamp only, I = 0.6

R = V/I = 2.4/0.6 = 4 Ohm

hence, R = 4 Ohm

Req = R1 + Rlamp

I = 6V/Req

Req = 6/0.6 = 10

R1 + Rlamp = 10 => R1 = 10 - 4 = 6 Ohm

Hence, R1 = 6 Ohm

c)The brightness remains same for this case, as no circuit element is connected to the branch containing S1.

b)When the switches are open, the total resistance of the circuit is less and more current is flowing in the circuit and more power dissipation occurs so the bulb is brighter when both the switches are closed as compared to both switch are closed.

c)R2 = 4 Ohm

R1 = 4 x 4/(4 + 4) = 2 ohm

Req = 2 + 6 = 8

I = 6/8 = 0.75 A

I = 0.75 A

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