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Question 23: In the circuit diagram given below five resistances of 10 Ω, 40 Ω, 30 Ω, 20 Ω and 60 Ω are connected as shown to a 12 V battery. Calculate : (a) total resistance in the circuit. (b) total current flowing in the circuit. Lakhmir Singh Physics Class 10

Answer» P 1: 10Ω and 40Ω are joined in parallel combination.so, R = 10 × 40/(10 + 40) = 8Ωstep 2 : 30Ω, 20Ω and 60Ω are joined in parallel combination.so, 1/R' = 1/30 + 1/20 + 1/60 = 1/10or, R' = 10Ωstep 3 : 8Ω and 10Ω are joined in SERIES combination.so, Req = R + R' = 8Ω + 10Ω = 18Ω HENCE, equivalent RESISTANCE or total resistance = 18Ω (b) total current flowing in the circuit , I = V/Req given, emf of battery, V = 12 volts so, I = 12/18 = 2/3 ≈ 0.67 Amp


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