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In the circuit shown in Figure 19.77 the emf of the battery is 7.4V. Resistor R1has a resistance of 31Ω, resistor R2 has a resistance of 47Ω, and resistor localid="1662203602529" R3has a resistance of localid="1662203617219" 52Ω. A steady current flows through the circuit.

(a)What is the equivalent resistance of R1andR2 ? (b) What is the equivalent resistance of all three resistors? (c) What is the conventional current throughR3

Short Answer

Expert verified

18.68Ω

Step by step solution

01

Given Data

R1=31ΩR2=47ΩR3=52Ωemf=7.4V

02

Concept

The equivalent resistance is the addition of the resistances, when the batteries are connected in series.

03

Step 3(a): Determine the equivalent resistance of  R1 and R2

The resistors R1 and R2are connected in parallel, then the equivalent resistance,

Req=1R1+1R2=131+147=0.05ΩR4=1/0.05=18.68Ω

Hence, the equivalent resistance is 18.68Ω18.68Ω

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