Question

Figure shows a balanced wheatstone bridge. The value of R is
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Answer 1

Answer:

Here is your answer

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Answer 2

Given:

Balanced WHEATSTONE BRIDGE is supplied.

To find:

Value of R ?

Calculation:

• R and 100 ohm are in parallel, so their combined resistance is 100R/(100+R).

Now, applying the General Rule:

$\implies \: \dfrac{100}{ \bigg( \dfrac{100R}{R + 100} \bigg)} = \dfrac{200}{40}$

$\implies \: \dfrac{1}{ \bigg( \dfrac{100R}{R + 100} \bigg)} = \dfrac{2}{40}$

$\implies \: \dfrac{1}{ \bigg( \dfrac{100R}{R + 100} \bigg)} = \dfrac{1}{20}$

$\implies \: \dfrac{100 + R}{ 100R} = \dfrac{1}{20}$

$\implies \: 100R = 2000 + 20R$

$\implies \: 80R = 2000$

$\implies \: R = 25 \: ohm$

So, value of R is 25 ohm.