Question

Explain the system of resistors(both parallel & series)

Answer 1

Frnd,

The current in a conductor depends upon its resistance (R) and potential difference (V) across its ends. Ohm’s Law can be applied to combination of resistors to find the equivalent resistance of the combination.

To increase the resistance individual resistances (larger than the largest number) are connected in series combination and to decrease the resistance individual resistances (lower than the lowest) are connected in parallel combination.

★ SERIES COMBINATION-
When two or more resistances are connected end to end then they are said to be connected in series combination.

Now applying Ohm’s law to entire circuit we get,

V = IR
On applying Ohm's law to the three resistors separately we have,
V1 = IR1
V2 = IR2
V3 = IR3
Now,
IR = IR1 + IR2 + IR3

R = R1 + R2 + R3

★ PARALLEL COMBINATION-
When two or more resistances are connected between the same two points they are said to be connected in parallel combination.

Now applying Ohm’s law to entire circuit we get,

V = IR
On applying Ohm's law to the three resistors separately we have,
I1 = V/R1
I2 = V/R2
I3 = V/R3

Now,
V/R = V/R1 + V/R2 + V/R3

1/R = 1/R1 + 1/R2 + 1/R3


Hope it helped
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