Ans. PARALLEL COMBINATION OF RESISTORS rf—
In (.Parallel combination, one end of each resistors W-I g connected with positive terminal of the battery while the other end of each resistor is connected with the
negative terminal of the battery. Therefore, the voltage is same across each resistor which is equal to the voltage of battery. parallel combination
i.e. V = V1 = V2 = V3
In the parallel circuit, the total current is equal to the sum of the currents in the various resistances.
i.e. I^+12 + Lj ...... (1)
Since the voltage across each resistance is V, so by Ohm's law V.
Thus Eq. (1) becomes
V V V
We can replace the combination of resistors with a single resistor called the equivalent resistance Re such that the same current passes through the circuit. From
Ohm's law:
= V/Re
Thus, Equation (2) becomes r~d d
R Thus, the equivalent resistance of a parallel combination is sum of the reciprocal of the individual resistances, which is less than any of the individual resistance connected in the combination. If resistances R.,, R2, R3, Rn are connected in parallel, then the equivalent resistance of the combination will be given by L•