Four resistors of equal value are connected in parallel. If the total voltage is 15 V and the total resistance is 600 Ω, the current through each parallel resistor is

Solution (By Examveda Team)

Understanding the Problem:
We have a parallel circuit with four identical resistors.
We know the total voltage across the parallel combination and the total equivalent resistance.
We need to find the current flowing through each individual resistor.

Key Concepts:
In a parallel circuit, the voltage across each branch is the same.
Ohm's Law: Voltage (V) = Current (I) x Resistance (R), or I = V/R
Step-by-Step Solution:
1. Find the total current (I_total): Using Ohm's Law for the entire circuit, I_total = V_total / R_total = 15 V / 600 Ω = 0.025 A = 25 mA
2. Find the resistance of each resistor (R_each): Since the resistors are in parallel and identical, the total resistance is related to the individual resistance by R_total = R_each / N (where N is the number of resistors).
Therefore, R_each = R_total * N = 600 Ω * 4 = 2400 Ω
3. Find the current through each resistor (I_each): Since the voltage across each resistor is the same as the total voltage (15 V), we can use Ohm's Law again: I_each = V_each / R_each = 15 V / 2400 Ω = 0.00625 A = 6.25 mA

Therefore, the correct answer is:
Option C: 6.25 mA