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WAEC Physics 2017 Theory — Question 28

Question 28 of 33 from the West African Examinations Council (WAEC) Physics 2017 Theory paper, with the correct answer and a full explanation.

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11(b)(ii) The resistance of the voltmeter in the circuit diagram illustrated above is 800Ω, calculate the voltmeter reading

Model answer

Resolving the two parallel branches (400Ω combined with the 800Ω voltmeter branch): Total resistance in the circuit where R1+R2=RT. 1/R1=1/400+1/400=2/400, so R1=200Ω. And 1/R2=1/800+1/800 [NB: the other is the resistance of the voltmeter], giving R2=400Ω (⇒Ω=400Ω). RT=(200+400)Ω=600Ω. From V=IR: VT=IT.RT. VT=6V; RT=600Ω ∴ IT=VT/RT=6/600=0.01A. V_voltmeter=I_voltmeter x R_voltmeter=IT x R2=0.01x400=4.0V.

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