Calculate the equivalent resistance of two resistors having resistances $3 Ω$ and $6 Ω$ connected in parallel.

2 Ω

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

4 Ω

No worries! We‘ve got your back. Try BYJU‘S free classes today!

6 Ω

No worries! We‘ve got your back. Try BYJU‘S free classes today!

8 Ω

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $2 Ω$
When two resistances $R_{1}$ and $R_{2}$ are connected in parallel, the effective resistance is given by:
$R_{e f f} = \frac{R_{1} \times R_{2}}{R_{1} + R_{2}}$
Given, $R_{1} = 3 Ω$ and $R_{2} = 6 Ω$
$∴$ Equivalent resistance, $R_{e f f}$ = $\frac{3 \times 6}{3 + 6}$ = $\frac{18}{9}$ = $2 Ω$ .

Suggest Corrections

Similar questions

Q. The equivalent resistance of two resistors connected in series is

6 Ω

and their parallel equivalent resistance is

\frac{4}{3} Ω

What are the values of resistances?

Q. Calculate the equivalent resistance when resistances of

2 Ω, 3 Ω

and

6 Ω

are connected in:
a) Series
b) Parallel

Two resistors when connected in series have a resistance of 9W and when connected in parallel have a resistance of 2W. What is the resistance of each resistor?

Q. Two resistors of

2 Ω

and

4 Ω

are connected in parallel. Two more resistors

3 Ω

and

6 Ω

are also connected in parallel. These two combinations are in series with a battery of emf

5

V and internal resistance

0.7 Ω

. Calculate the current through

6 Ω

resistor.

Three resistors having resistances 2 $Ω$ , 3 $Ω$ and 4 $Ω$ are connected so that the equivalent resistance is 9 $Ω$ . The resistors are connected in:

Join BYJU'S Learning Program

Calculate the equivalent resistance of two resistors having resistances 3 Ω and 6 Ω connected in parallel.

The correct option is A 2 ΩWhen two resistances R1 and R2 are connected in parallel, the effective resistance is given by: Reff=R1×R2R1+R2 Given, R1=3 Ω and R2=6 Ω ∴Equivalent resistance, Reff = 3×63+6 = 189 = 2 Ω.

Calculate the equivalent resistance of two resistors having resistances $3 Ω$ and $6 Ω$ connected in parallel.