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JEE Main 202310 AprilMorning Shift
Exam
JEE Main
Year
2023
Date
10 April
Shift
Morning Shift
Subject
Physics
Chapter
Magnetic Effects of Current

JEE Main 2023 · 10 April · Morning Shift · Physics · Magnetic Effects of Current

Given below are two statements: Statement I: If the number of turns...

Given below are two statements:

Statement I: If the number of turns in the coil of a moving coil galvanometer is doubled then the current sensitivity becomes double.

Statement II: Increasing current sensitivity of a moving coil galvanometer by only increasing the number of turns in the coil will also increase its voltage sensitivity in the same ratio

In the light of the above statements, choose the correct answer from the options given below:

Options

  1. AStatement II is true but Statement IIII is false
  2. BStatement II is false but Statement IIII is true
  3. CBoth Statement II and Statement IIII are false
  4. DBoth Statement II and Statement IIII are true

Correct answer

A. Statement II is true but Statement IIII is false

Step-by-step solution

For a moving coil galvanometer,

(NiAB)=kθ\left(NiAB\right) = k\theta

The current sensitivity is given by

Si=NABk{S}_{i} = \dfrac{NAB}{k}

So, if NN is doubled then, the current sensitivity is also doubled.

The voltage is given by

V=(BNARk)θV = \left(\dfrac{BNA}{Rk}\right)\theta

The voltage sensitivity is given by

Sv=(NABkR){S}_{v} = \left(\dfrac{NAB}{kR}\right)

As, NN is increased, RR also increases. So, the voltage sensitivity does not change as NR\dfrac{N}{R} remains constant.

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