Question

A CURRENT FLOWS THROUGH A PARALLEL
COMBINATION OF 2-OHM
AND 4-OHM CIRCUIT.
THE RATIO OF HEAT
PRODUCED???????????​

Answer 1

Answer:

Given:

Current flows through a parallel combination of 2 ohm and 4 ohm resistor.

To find:

Ratio of heat produced .

Formulas used:

Heat produced is denoted by "H"

H = i² × R × t,

where i => current, R => resistance,

t => time.

Modifications of the formula:

H = i² × R × t

=> H = (V/R)² × R × t

=> H = V²/R × t,

where V => voltage.

Concept:

In a parallel combination, voltage across resistors remain same.

So V is constant.

Calculation:

Let heat by 2 ohm resistor be H1,

heat by 4 ohm resistor be H2.

Then,

H1/H2 = {(V²/R1) × t}/{(V²/R2) × t}

=> H1/H2 = R2/R1

=> H1/H2 = 4/2 = 2

So the ratio is 2:1