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GUJCET · Physics · Current Electricity
For the which value of Resistance \(R =\) _________ when galvanometer shows zero deflection for following below electrical circuit.
- A \(200 \Omega\)
- B \(100 \Omega\)
- C \(500 \Omega\)
- D \(1000 \Omega\)
Answer & Solution
Correct Answer
(B) \(100 \Omega\)
Step-by-step Solution
Detailed explanation
B
As galvanometer shows zero deflection, current flowing through \(500 \Omega\) and \(R \Omega\) will be same and potential difference across R will be 2 V .
Current passing through circuit
\(I=\frac{12}{500+R}\)
Voltage across \(R\)
\(\begin{aligned} V = IR \\ \therefore 2 =\left(\frac{12}{500+ R }\right) R \\ \therefore 1000+2 R =12 R \\ \therefore 1000 =10 R \\ \therefore R =100 \Omega\end{aligned}\)
As galvanometer shows zero deflection, current flowing through \(500 \Omega\) and \(R \Omega\) will be same and potential difference across R will be 2 V .
Current passing through circuit
\(I=\frac{12}{500+R}\)
Voltage across \(R\)
\(\begin{aligned} V = IR \\ \therefore 2 =\left(\frac{12}{500+ R }\right) R \\ \therefore 1000+2 R =12 R \\ \therefore 1000 =10 R \\ \therefore R =100 \Omega\end{aligned}\)
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