Two resistors, one with a resistance of 2 ohms and the other with a resistance of 4 ohms, are connected in parallel to a 6-volt battery.
What is the total current flowing through the circuit?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 4.5 Amperes.
When two resistors are connected in parallel, the reciprocal of the equivalent resistance is calculated using the parallel resistance formula.
1/R=1/2+1/4
Taking the LCM of 2 and 4:
1/R = 2/4 + 1/4 = 3/4
So, the equivalent resistance becomes:
R = 4/3 ohms
Now, using Ohm’s Law:
I=V/R
Substituting the values:
I = 6 ÷ (4/3)
I = 6 × 3/4
I = 18/4
I = 4.5 amperes
Therefore, the total current flowing through the circuit is 4.5 A. The parallel combination lowers the total resistance, allowing more current to flow from the 6-volt battery.