Question

The parallel combination of two 10 ohm resistors are placed across the terminals of 24v battery (a) what is the effective resistance of The parallel circuit (b) what is the current through the entire circuit (c) what is the current through the branch of the circuit.

Answer 1

Here we have combination of two parallel 10 ohm resistors

so now we will have current in each resistor given as

$i = \frac{V}{R}$

$i = \frac{24}{10} = 2.4 A$

now each resistor is having 2.4 A current in it

So total current flowing through the battery is given as 2.4 + 2.4 = 4.8 A

now in order to find net resistance we can use ohm's law

$V = i R$

$24 = R * 4.8$

$R = 5 ohm$

so net resistance of both combination is 5 ohm

Answer 2

Here we have combination of two parallel 10 ohm resistors

so now we will have current in each resistor given as

i = \frac{V}{R}

i = \frac{24}{10} = 2.4 A

now each resistor is having 2.4 A current in it

So total current flowing through the battery is given as 2.4 + 2.4 = 4.8 A

now in order to find net resistance we can use ohm's law

V = i R

24 = R * 4.8

R = 5 ohm

so net resistance of both combination is 5 ohm