Question

A voltage source is connected across two 1 kohm resistors in parallel. The current flowing through the voltage source is measure by a current meter as 2 mA. What is the voltage across each resistor

Answer 1

1 Volt

Step-by-step explanation:

The resistors have resistance R = 1 kΩ each = 1 x 10^3 Ω each

The current through the voltage source I= 2 mA = 2 x 10^-3 A

The resistors are in parallel, son the total resistance will be

`(1)/(R_(T))` =
`(1)/(R_(1)) + (1)/(R_(2))`

`(1)/(R_(T))` = 1/1 kΩ + 1/1 kΩ

`(1)/(R_(T))` = 2/1 kΩ

`R_(T)` = 1 kΩ ÷ 2 = 0.5 kΩ = 500 Ω

From V = IR

where V is the voltage

I is the current

R is the resistance

substituting, we have

V = 500 x 2 x 10^-3 = 1 V This is the voltage across each resistor