Question:
If a current of 500 mA produces a deflection of $ 30^\circ $ in a tangent galvanometer, then the current that produces a deflection of $ 60^\circ $ is
If a current of 500 mA produces a deflection of $ 30^\circ $ in a tangent galvanometer, then the current that produces a deflection of $ 60^\circ $ is
Updated On: Jun 8, 2024
- 1. 5 A
- 1 A
- 500 mA
- 866 mA
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The Correct Option is A
Solution and Explanation
If an electric current I is flowing through the coil of the tangent galvanometer and the magnetic needie gets deflected and comes to rest making an angie $ \theta $ with the direction of horizontaI component of earth's magnetic field H, then for the tangent galvanometer
$ I = K \tan \theta $
where K is the reduction factor of tangent galvanometer.
$ \therefore \, \frac{I_1}{I_2} = \frac{tan \,\theta_1}{\tan \theta_2} $
or $ \frac{500}{I_2} = \frac{\tan 30^\circ}{\tan 60^\circ}$ or $\frac{500}{I_2} = \frac{\bigg(\frac{1}{\sqrt{3}}\bigg)}{\sqrt{3}} $
or $ \frac{500}{I_2} = \frac{1}{3} $
or $ I_2 = 1500 \,mA = 1.5\, A $
$ I = K \tan \theta $
where K is the reduction factor of tangent galvanometer.
$ \therefore \, \frac{I_1}{I_2} = \frac{tan \,\theta_1}{\tan \theta_2} $
or $ \frac{500}{I_2} = \frac{\tan 30^\circ}{\tan 60^\circ}$ or $\frac{500}{I_2} = \frac{\bigg(\frac{1}{\sqrt{3}}\bigg)}{\sqrt{3}} $
or $ \frac{500}{I_2} = \frac{1}{3} $
or $ I_2 = 1500 \,mA = 1.5\, A $
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Magnets are used in many devices like electric bells, telephones, radio, loudspeakers, motors, fans, screwdrivers, lifting heavy iron loads, super-fast trains, especially in foreign countries, refrigerators, etc.
Magnetite is the world’s first magnet. This is also called a natural magnet. Though magnets occur naturally, we can also impart magnetic properties to a substance. It would be an artificial magnet in that case.
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Some of the properties of the magnetic field lines are:
- The lines and continuous and outside the magnet, the field lines originate from the North pole and terminate at the South pole
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- But here the lines seem to originate from the South pole and terminate at the North pole to form closed loops.
- More number of close lines indicate a stronger magnetic field
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- The tangent drawn at the field line gives the direction of the field at that point.