Question:

A meter bridge is set-up as shown in figure, to determine an unknown resistance $X$ using a standard $10 \Omega $ resistor: The galvanometer shows null point when tapping-key is at $52\, cm$ mark. The end-corrections are $1\, cm$ and $2 \,cm$ respectively for the ends $A$ and $B$. The determined value of $X$ is

Updated On: Jun 23, 2023
  • $10 \Omega$
  • $10.6 \Omega$
  • $10.8 \Omega$
  • $11.1 \Omega$
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The Correct Option is B

Solution and Explanation

Using the concept of balanced Wheat stone bridge, we have,
$\, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \frac{P}{Q} = \frac{R}{S}$
$\therefore \, \, \, \, \, \, \, \, \, \, \frac{X}{(52 + 1)} = \frac{10}{(48 + 2)}$
$\therefore \, \, \, \, \, \, \, X = \frac{10 \times 53}{50} = 10.6 \Omega$
$\therefore $ Correct option is (b).
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Concepts Used:

Current Electricity

Current electricity is defined as the flow of electrons from one section of the circuit to another.

Types of Current Electricity

There are two types of current electricity as follows:

Direct Current

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Alternating Current

The current electricity that is bidirectional and keeps changing the direction of the charge flow is known as alternating current. The bi-directionality is caused by a sinusoidally varying current and voltage that reverses directions, creating a periodic back-and-forth motion for the current. The electrical outlets at our homes and industries are supplied with alternating current.