2. Four resistors of 2 ohm each are connected first in series and then in parallel with a battery. Find the ratio of electric current In series and parallel connection.

Resistance is the property of the conductor to lose some current in the form of heat. The ratio of electric current in series and the parallel connection is 1/8.

For series,

Rt = 2+2+2+2 = 4Ω

For parallel,

The electric current in the wire,

In series,

In parallel,

So, the ratio of the electric current is,

Therefore, the ratio of electric current in series and the parallel connection is 1/8.

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Ratio of series current to parallel

= 1 : 8

Explanation:

Total resistance Rt

For series, Rt = 2+2+2+2 = 4ohms

For parallel, 1/Rt = 1/2 + 1/2 + 1/2 + 1/2

1/Rt = 4/2, Rt = 2/4 ohms.

If we use a 1V battery, then,

I = V/Rt

I = 1/4 = 0.25 ampere for series arrangement.

I = 1/0.5 = 2 ohms.

Ratio of current of series to parallel = 0.25 : 2

= 1 : 8

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