Question

How many 12 ohm resistors in parallel are to be connected across a battery of 6 v so that a total current of 1 ampere passes from the battery

Answer 1

Answer:

There are 2 resistors of 12 ohm resistors in parallel are to be connected across a battery of 6 v so that a total current of 1 ampere passes from the battery.

Explanation:

Given,

R = 12 ohm

V = 6 volt

i = 1 ampere

By using the formula of ohm's law

we get,

V = i Req

Req = V/i

Req = 6/1 ohm

Req = 6 ohm

Here,

R is the resistance

V is the voltage across the battery.

i is the total current passing from the battery.

Req is the equivalent resistance in the circuit.

Now, applying the formula of Req in parallel connection.

We have,

Req = R/n

n = R/Req

n = 12/6

n = 2 resistors.

Here,

n is the number of resistor.

Req is the equivalent resistance in the circuit.

R is the resistance.

Hence,

There are 2 resistors of 12 ohm resistors in parallel are to be connected across a battery of 6 v so that a total current of 1 ampere passes from the battery.