Question

2Ω resistor A, 1Ω resistor B and 4Ω resistor C are connected in parallel. The combination is connected across a 2V battery of negligible resistance. Draw the diagram of the arrangement and calculate:
(i) The current in each resistor A and C,
(ii) The current through battery.

Answer 1

The diagram of the arrangement is shown in given figure.

(i) The current in resistor A is I₁ = `"V"/"R"_1 = 2/2 = 1.0`A

The current in resistor B is I_{2 =} `"V"/"R"_2 = 2/1 = 2.0`A 

The current in resistor B is I_3 = `"V"/"R"_3 = 2/4 = 0.5`A 

(ii) The current through battery 

I = I₁ + I₂ + I₃ 

I = 1.0 + 2.0 + 0.5

= 3.5 Ampere.