Home
Class 12
PHYSICS
If n cells each of emf E and internal re...

If n cells each of emf E and internal resistance are connected in parallel, then the total emf and internal resistances will be

A

`epsi, (r)/(n)`

B

`epsi,nr`

C

`"n"epsi,(r)/(n)`

D

`"n"epsi,nr`

Text Solution

Verified by Experts

The correct Answer is:
A
In the parallel combination, `(epsi_("eq"))/(r_("eq"))=(epsi_(1))/(r_(1))+(epsi_(2))/(r_(2))+,.....+(epsi_(n))/(r_(n))`
`(1)/(r_("eq"))=(1)/(r_(1))+(1)/(r_(2))+...+(1)/(r_n)`
`(therefore epsi_(1)=epsi_(2)=epsi_(3)=.....=epsi_(n)=epsi and r_(1)=r_(2)=r_(3)=r...r_(n)=r)`
`therefore (epsi_("eq"))/(r_("eq))=(epsi)/(r)+(epsi)/(r)+......+(epsi)/(r)=n(epsi)/(r)..(i)`
`(1)/(r_("eq"))=(1)/(r)+(1)/(r)+....+(1)/(r)=(n)/(r)`
`r_("eq")=r//n...(ii)`
From (i) and (ii)
`e_("eq")=n(epsi)/(r)xxr_("eq")=nxx(epsi)/(r)xx(epsi)/(n)=epsi`
Promotional Banner

Topper's Solved these Questions

  • CURRENT ELECTRICITY

    NCERT FINGERTIPS|Exercise Kirchoff'S Law|11 Videos

  • CURRENT ELECTRICITY

    NCERT FINGERTIPS|Exercise Wheatstone Bridge|6 Videos

  • CURRENT ELECTRICITY

    NCERT FINGERTIPS|Exercise Cells, Emf, Internal Resistance|6 Videos

  • COMMUNITCATION SYSTEMS

    NCERT FINGERTIPS|Exercise HOTS|10 Videos

  • DUAL NATURE OF RADIATION AND MATTER

    NCERT FINGERTIPS|Exercise Assertion And Reason|15 Videos

Similar Questions

Explore conceptually related problems

In a connection of 10 dry cells each of emf E and internal resistance r in series, two cell is connected opposite. Net emf and net internal resistance will be:

Four cell each of emf 2 V and internal resistance 1 ohm are connected n parallel with an external resistance of 6 ohm. The current in the external resistance is

There are n cells, each of emf E and internal resistance r, connected in series with an external resistance R. One of the cells is wrongly connected, so that it sends current in the opposite direction. The current flowing in the circuit is

N batteries each of emf E and internal resistance r are first connected in series and then in parallel to an external resistance R. if current through R is same in both cases then.

If three cell are connected in parallel then equivalent emf……. and equivalent internal resistance is …..

The emf of a cell having internal resistance is

Four cells, each of emf E and internal resistance r, are connected in series across an external resistance reverse. Then, the current in the external circuit is

A cell of emf (E) and internal resistance (r) is balanced across (l) length of potentiometer wire. If another cell of emf 2E and internal resistance (2r) is connected in parallel to the first cell , then the balancing length will be

Two batteries of difference emf's and internal resistance are connected in parallel to one another.

n identical cells each of e.m.f. E and internal resistance r are connected in series. An external resistance R is connected in series to this combination. The current through R is