Question

Two resistance of 4 ohm each connected in parallel with a cell of 10volts. What is the total resistance and current in the circuit

Answer 1

Answer:

R = 2 ohm

I = 5 A

Explanation:

total resistance = R1×R2/R1+R2. (parallel combination)

= 4×4/4+4

= 16/8

= 2 ohm

V = 10 volt

according to ohm's law -

V = IR

therefore, I = V/R

I = 10/2

I = 5 A

Answer 2

Given :

➳ Two identical resistors of resistance 4Ω are connected in parallel with a battery of voltage 10V.

To Find :

• Equivalent resistance
• Current flow in circuit

Solution :

✴ Equivalent resistance :

$\longrightarrow\tt\:\dfrac{1}{R}=\dfrac{1}{R_1}+\dfrac{1}{R_2}\\ \\ \longrightarrow\tt\:\dfrac{1}{R}=\dfrac{1}{4}+\dfrac{1}{4}\\ \\ \longrightarrow\tt\:\dfrac{1}{R}=\dfrac{2}{4}\\ \\ \longrightarrow\boxed{\bf{R=2\Omega}}$

✴ Current flow through circuit :

⟶ As per ohm's law, Current flow through a conductor is directly proportional to the applied potential difference.

$\longrightarrow\tt\:V=I\times R\\ \\ \longrightarrow\tt\:10=I\times 2\\ \\ \longrightarrow\boxed{\bf{I=5A}}$