in a circuit three resistors of resistance are connected in parallel combination which have resistance 4 ohm each which are connected to a potential difference 6 volts find total resistance in a circuit and total current
Answers
therefore answer is 1.33 ohm and 4.5A
Three resistors each of resistance 4 ohm are connected in parallel combination, having a potential difference of 6 volt.
We have to find the total resistance and total current in the circuit.
From above data we have; R1 = R2 = R3 = 4 ohm
As they are connected in parallel combination. So,
1/Rp = 1/R1 + 1/R2 + 1/R3
1/Rp = 1/4 + 1/4 + 1/4
1/Rp = 1/4 (1 + 1 + 1)
1/Rp = 3/4
Rp = 4/3 ohm
Req = Rp
Req = 4/3 ohm
Therefore, the total resistance in the circuit is 4/3 ohm.
Ohm's law: The potential difference i.e. V
across the ends of the wire is directly
proportional to the current i.e. I flowing
through that wire provides the temperature
remains constant.
V ∝ I
V = IR (here, R is constant)
Substitute value of V = 6V and R = 4/3 ohm
6 = I × 4/3
(6 × 3)/4 = I
9/2 = I
4.5 = I
Therefore, the total current in the circuit is 4.5 A.