The resistance in the two arms of the meter bridge are $$5$$ Ω and R Ω respectively. When the resistance ‘R’ is shunted with an equal resistance , the new balance point is at $$1.6$$ $$l1$$. The resistance ‘R’ is

Question

The resistance in the two arms of the meter bridge are $$5$$  Ω  and R  Ω  respectively. When the resistance ‘R’ is  shunted with an equal resistance , the new balance point is at  $$1.6$$ $$l1$$. The resistance ‘R’ is

Infinity Learn · Accepted Answer

Initial condition $$5l1=R100$$−$$l1$$−−−−(1) Final condition $$51.6l1=R2100$$−$$1.6l1$$ $$R1.6100$$−$$l1=R2100$$−$$1.6l1$$−−−−(2)  from equation (1)  $$1.6100$$−$$l1=2100$$−$$1.6l1$$ ⇒$$160$$−$$1.6l1=200$$−$$3.2l1$$ ⇒$$1.6l1=40$$ ⇒$$l1$$ $$=$$ $$40016$$ $$=$$ $$25$$ From equation (1) $$525$$ $$=$$ $$R100$$−$$25$$ ⇒ R $$=$$ $$15$$ Ω

The resistance in the two arms of the meter bridge are $5 Ω$ and $R Ω$ respectively. When the resistance ‘R’ is shunted with an equal resistance , the new balance point is at $1.6 l_{1}$ . The resistance ‘R’ is

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The resistance in the two arms of the meter bridge are 5 Ω and R Ω respectively. When the resistance ‘R’ is shunted with an equal resistance , the new balance point is at 1.6 l1. The resistance ‘R’ is

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Ready to Test Your Skills?

free study material

The resistance in the two arms of the meter bridge are $5 Ω$ and $R Ω$ respectively. When the resistance ‘R’ is shunted with an equal resistance , the new balance point is at $1.6 l_{1}$ . The resistance ‘R’ is