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JEE Mains · Physics · STD 12 - 4. Moving charges and magnetism

To know the resistance \(G\) of a galvanometer by half deflection method, a battery of  \(emf\, V_E\)  and resistance \(R\) is used to deflect the galvanometer by angle \(\theta \). If a shunt of resistance \(S\)  is needed to get half deflection then \(G, R\)  and  \(S\) related by the equation

  1. A \(S (R+ G) = RG\)
  2. B \(2S (R+G)=RG\)
  3. C \(2G = S\)
  4. D \(2S=G\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(S (R+ G) = RG\)

Step-by-step Solution

Detailed explanation

According to Ohm's Law, \(I\) \(=\frac{V}{R}\) \(\mathrm{I}_{\mathrm{g}}=\frac{\mathrm{V}}{\mathrm{R}+\mathrm{G}}\) where, \(I \)\(_{g}\) - Galvanometer current, \(G-\)Galvonometer resistance When shunt of resistance \(S\) is connected parallel to the Galvanometer then…
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