Question Detail
Question
Three resistors (2 Ohms, 4 Ohms, 5 Ohms) are connected in parallel with a potential difference of 20V maintained across them find the total current
Correct Answer
Option D is the correct answer.
Detailed Explanation
Given resistors: R1 = 2 Ω, R2 = 4 Ω, R3 = 5 Ω.Potential difference (V) = 20 V.For resistors connected in parallel, the reciprocal of the equivalent resistance (Rp) is the sum of the reciprocals of individual resistances:1/Rp = 1/R1 + 1/R2 + 1/R31/Rp = 1/2 + 1/4 + 1/5To add these fractions, find a common denominator, which is 20:1/Rp = 10/20 + 5/20 + 4/201/Rp = (10 + 5 + 4) / 20 = 19/20 Ω-1So, the equivalent resistance Rp = 20/19 Ω.Now, use Ohm's Law to find the total current (I):I = V / RpI = 20 V / (20/19 Ω)I = 20 * (19/20) A = 19 A.The total current flowing through the circuit is 19 A.
Hint
First, calculate the equivalent resistance of the parallel combination. Then, use Ohm's Law (I = V/R) to find the total current.