Question

you are given four cells of 2V which types of combination of cells will give you a voltage of 8V?

Answer 1

Answer:

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Explanation:

Given : E=2V r=4Ω R=12Ω

Let there are m cells in one row and there are m such rows i.e mn=48 ...........(1)

For maximum current to flow through resistor R, then r

eq

=R ........(2)

Equivalent resistance of each row r

1

=mr

∴ Total equivalent resistance of the circuit r

eq

=

n

mr

∴

n

m×4

=12 ⟹m=3n

From (1), 3n×n=48 ⟹n=4 and m=12

Net equivalent emf of the circuit E

eq

=∑

r

i

E

i

×r

eq

where i represents the row number

E

eq

=[

48

24

+

48

24

+

48

24

+

48

24

]12=24V

∴ Current flows I=

r

eq

+R

E

ee

=

12+12

24

=1A

solution