Question

Several resistors 240 ohms each are connected in parallel across a 10 V battery. If the equivalent resistance of this combination is 20 ohms, how many resistors are being used here​

Answer 1

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Several resistors 240 ohms each are connected in parallel across a 10 V battery. If the equivalent resistance of this combination is 20 ohms, how many resistors are being used here​ ?

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Resistors each of resistance 240 ohms.

The combination is parallel.

Equivalent resistance = 20 ohms..

We have to find the no. of resistors.

Here all the resistors are equal and the combination is a parallel one. Then, equivalent resistance (Rp) = R/n where R is the individual resistance and n is the no. of resistors.

Then,

⇒ Rp = R/n

⇒ 20 ohms = 240 ohms / n

⇒ n = 240 ohms / 20 ohms

⇒ n = 12

∴ The number of resistors used in the combination is 12 (Ans).

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Answer 2

Answer:

Resistors each of resistance 240 ohms.

The combination is parallel.

Equivalent resistance = 20 ohms..

We have to find the no. of resistors.

Here all the resistors are equal and the combination is a parallel one. Then, equivalent resistance (Rp) = R/n where R is the individual resistance and n is the no. of resistors.

Then,

⇒ Rp = R/n

⇒ 20 ohms = 240 ohms / n

⇒ n = 240 ohms / 20 ohms

⇒ n = 12

∴ The number of resistors used in the combination is 12 (Ans).