Question

DERIVE THE FORMULA WHICH THE THREE RESISTANCES ARE CONNECTED IN SERIES AND PARALLEL. CONSTRUCT THE CIRCUIT DIAGRAM OF EACH CASE.

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Answer 1

Answer:

The diagram of three resistors connected in series combination is shown.

R

1

,R

2

and R

3

are the three resistors.

I = electric current flowing through the circuit

V = the potential difference supplied by the battery

Applying the Ohm’s law to the entire circuit, we have

V=IR

On applying Ohm’s law to the three resistors separately, we further have

V

1

=IR

1

V

2

=IR

2

and V

3

=IR

3

The total potential difference across a combination of resistors in series is equal to the sum of potential difference across the individual resistors. That is,

V=V

1

+V

2

+V

3

Therefore, IR=IR

1

+IR

2

+IR

3

or

Equivalent resistance of the combination, R=R

1

+R

2

+R

3

Explanation:

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