Two identical batteries-each of emf 2 V and internal resistance r-1 - by passing a current through it- The maximum power that can be developed across R-1 - using these batteries is

When m identical cells are connected in parallel, I=ϵ_i/R+r_i/m As two batteries are connected in parallel. ϵ_1=ϵ_2=2 V,r_1=r_2=1.0 Ω, R=1 Ω I=2/1+1/2=4/3 A Pow ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Physics

Kirchoff's Voltage Law

Two identical...

Question

Two identical batteries,each of emf $2 V$ and internal resistance r=1 $Ω$ by passing a current through it. The maximum power that can be developed across $R = 1 Ω$ using these batteries is

\frac{16}{9} W

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

\frac{25}{9} W

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

2 W

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

4 W

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

Open in App

Solution

The correct option is A $\frac{16}{9} W$
When $m$ identical cells are connected in parallel,
$I = \frac{ϵ_{i}}{R + \frac{r_{i}}{m}}$
As two batteries are connected in parallel. $ϵ_{1} = ϵ_{2} = 2 V$ , $r_{1} = r_{2} = 1.0 Ω, R = 1 Ω$
$I = \frac{2}{1 + \frac{1}{2}} = \frac{4}{3} A$
Power developed resistance= $I^{2} R = \frac{16}{9} W$

Suggest Corrections

Similar questions

Q. Two identical batteries,each of emf

2 V

and internal resistance r=1

Ω

by passing a current through it. The maximum power that can be developed across

R = 1 Ω

using these batteries is

Q. Two identical batteries each of

e . m . f .

2 V

and internal resistance

1 Ω

are available to produce heat in an external resistance by passing a current through it. The maximum power that can be developed across

R

using these batteries is

Q. A battery of emf

E

and internal resistance

r

is connected across a resistance

R

. Resistance

R

can be adjusted to any value greater than or equal to zero. A graph is plotted between the current passing through the resistance

(I)

and potential difference across the termainals of the battery

(V)

. Maximum power developed across the resistance

R

Q. Two identical batteries each of emf

E = 2 V

and internal resistance

r = 1 Ω

are available to produce heat in an external circuit. What is the maximum rate of production of heat that can be obtained in the external circuit?

Q. A circuit is comprised of eight identical batteries and a resistor R

=

0.8

Ω

. Each battery has an emf of 1.0 V and internal resistance of 0.2

Ω

. The voltage difference across any of the battery is

Join BYJU'S Learning Program

Two identical batteries,each of emf 2 V and internal resistance r=1 Ω by passing a current through it. The maximum power that can be developed across R=1 Ω using these batteries is

The correct option is A 169 WWhen m identical cells are connected in parallel, I=ϵiR+rim As two batteries are connected in parallel. ϵ1=ϵ2=2 V,r1=r2=1.0 Ω,R=1 Ω I=21+12=43 A Power developed resistance=I2R=169 W

Two identical batteries,each of emf $2 V$ and internal resistance r=1 $Ω$ by passing a current through it. The maximum power that can be developed across $R = 1 Ω$ using these batteries is