Question

One 3 ohm resistor and 6 ohm resistor are connected in parallel across a 1.5v cell. calculate the current in:

a) 3 ohm resistor
b) 6 ohm resistor
c) The cell
d) The resistance of the parallel combination.

Answer 1

The current in the 3 ohm resistor is 0.5A, in the 6 ohm resistor is 0.25A, and the current through the cell is 0.75A. The resistance of the parallel combination is 2 ohms.

Step-by-step explanation:

When a 3 ohm resistor and a 6 ohm resistor are connected in parallel across a 1.5V cell, we calculate the current in each resistor and the cell using Ohm's law, which states that I = V/R. To find the equivalent resistance (Rp) of the parallel combination, we use the formula 1/Rp = 1/R1 + 1/R2. In this case:

• For the 3 ohm resistor: I = V/R = 1.5V/3Ω = 0.5A
• For the 6 ohm resistor: I = V/R = 1.5V/6Ω = 0.25A
• The total resistance for the parallel combination is 2Ω, calculated as 1/Rp = 1/3Ω + 1/6Ω, Rp = 2Ω.
• For the cell: Icell = V/Rp = 1.5V/2Ω = 0.75A

The resistance of the parallel combination is 2 ohms, and the current through the cell is 0.75 amps.