Question:

In a potentiometer experiment, two cells of emf $E_1$ and $E_2$ are used in series in the secondary circuit. The balancing length is found to be 58 cm. If the polarity of $E_2$ is reversed, the balancing length becomes 29 cm. The ratio $E_1/E_2$ of the emfs of two cells is :

Updated On: May 11, 2024
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The Correct Option is B

Solution and Explanation

Using, V $\propto \, l$ we get $\frac{E_1 + E_2}{E_1 - E_2} = \frac{l_1 + l_2}{l_1 - l_2} = \frac{58 + 29}{58 - 29} = \frac{3}{1}$
$i.e.$ $\frac{E_1}{E_2} = \frac{2}{1} $ $\left( \, \because \, \frac{E_1 + E_2 + E_1 - E_2 }{E_1 + E_2-(E_1-E_2)} = \frac{3 + 1}{3 - 1} \right)$
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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

The current electricity whose direction remains the same is known as direct current. Direct current is defined by the constant flow of electrons from a region of high electron density to a region of low electron density. DC is used in many household appliances and applications that involve a battery.

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.