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The equilibrium condition \(NIAB = C\phi\) leads to the current–deflection relationship:

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Question

The equilibrium condition \(NIAB = C\phi\) leads to the current–deflection relationship:

Options

  • \[\phi = \frac{C}{NIAB}\]

  • \[\phi = \left(\frac{C}{NAB}\right)I\]

  • \[\phi = \frac{NIAB}{C^2}\]

  • \[\phi = \left(\frac{NAB}{C}\right)I\]

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Solution

Solving \(NIAB = C\phi\) gives \[\phi = \left(\frac{NAB}{C}\right)I\] so the deflection is directly proportional to the current \((\phi \propto I)\). This proportionality makes the galvanometer scale linear and uniform.

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