Question

In an experiment of determining the equivalent

resistance of two resistors connected in

parallel, a resistance is introduced in series

with the circuit. If all the resistances have

equal magnitude and net resistance is of

15 Ω, then what is the value of one resistance?

What will be the equivalent resistance if all

three resistors are connected in parallel?​

Answer 1

Answer:

Explanation:

12th

Physics

Current Electricity

Equivalent Resistance in Series-Parallel

The equivalent resistance o...

PHYSICS

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Asked on October 15, 2019 by

Simeen Kotturi

The equivalent resistance of two resistors connected in series is 6Ω and their parallel equivalent resistance is

3

4

​

Ω What are the values of resistances?

MEDIUM

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VIDEO EXPLANATION

ANSWER

Let the two resistances be R

1

​

and R

2

​

.

Equivalent resistance of series connection, R

s

​

=R

1

​

+R

2

​

∴ R

1

​

+R

2

​

=6 ⟹R

2

​

=6−R

1

​

...........(1)

Equivalent resistance of parallel connection, R

p

​

=

R

1

​

+R

2

​

R

1

​

R

2

​

​

∴

3

4

​

=

6

R

1

​

(6−R

1

​

)

​

(using 1)

We get R

1

2

​

−6R

1

​

+8=0

Or (R

1

​

−4)(R

1

​

−2)=0 ⟹R

1

​

=2Ω or 4Ω

Let say, R

1

​

=4Ω

⟹ R

2

​

=6−4=2Ω

Answer 2

Explanation:

$\huge{\sf{\underbrace{\overbrace{\pink{AnSwEr}}}}}$

I=VR1+R2+R3=VRS. Since the current through each component is the same, the equality can be simplified to an equivalent resistance, which is just the sum of the resistances of the individual resistors.

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