Question

R1 =2ohm and R2 =4ohm are connected to the battery E=1V in series V1
a 0.25V b 0.33V c 0.50​

Answer 1

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Two resistors R1 and R2 may...

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Asked on December 30, 2019 by

Misha Guna

Two resistors R

1

and R

2

may be connected either in series or in parallel across a battery of zero internal resistance. It is required that the joule heating for parallel combination be five times that for series combination. If R

1

=100Ω, find possible values of R

2

.

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ANSWER

Equivalent resistance for parallel connection R

p

=

100+R

2

100R

2

Equivalent resistance for series connection R

s

=100+R

2

Joule heat produced H=

R

V

2

t

⟹H∝

R

1

∴ H

p

=5H

s

⟹

R

p

1

=

R

s

5

∴

100R

2

100+R

2

=

100+R

2

5

OR R

2

2

−300R

2

+10000=0

⟹ R

2

=38.2Ω or 261.8Ω