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BITSAT 2018
Exam
BITSAT
Year
2018
Subject
Physics
Chapter
Magnetic Effects of Current

BITSAT 2018 · Physics · Magnetic Effects of Current

To increase the current sensitivity of a moving coil galvanometer...

To increase the current sensitivity of a moving coil galvanometer by 5050 % ,& its resistance is increased, so that new resistance becomes twice its initial resistance, by what factor does its voltage sensitivity change?

Options

  1. AIncreases by 1515 %
  2. BDecreases by 1515 %
  3. CIncreases by 2525 %
  4. DDecreases by 2525 %

Correct answer

D. Decreases by 2525 %

Step-by-step solution

New, current sensitivity, Is′=Is+50100Is{I}_s^{'} = {I}_{s} + \dfrac{50}{100}{I}_{s}

=150100Is=32Is= \dfrac{150}{100}{I}_{s} = \dfrac{3}{2}{I}_{s}

New resistance, R′=2RR^{'} = 2R

Initial voltage sensitivity, Vs=IsR{V}_{s} = \dfrac{Is}{R}

Now, new voltage sensitivity.

Vs=is′R′=32Ic2R=34Vs{V}_{s} = {i}_s^{'}R^{'} = \dfrac{\dfrac{3}{2}{I}_{c}}{2R} = \dfrac{3}{4}{V}_{s}

% decrease in voltage sensitivity

=Vs−Vs′Vs×100= \dfrac{{V}_{s} - {V}_s^{'}}{Vs} \times 100

=(1−VsVs)×100= \left(1 - \dfrac{Vs}{Vs}\right) \times 100

=(1−34)×100=25= \left(1 - \dfrac{3}{4}\right) \times 100 = 25 %

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