Question

find the equivalent resistance between the point a and b in the circuits given below .

explain all the terms and formulas​

Answer 1

Explanation:

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