Question

Two wires of the same metal having the same cross-sectional area but different lengths will carry the same amount of current when applying the same potential difference across each wire.

True or false

Answer 1

ANSWER

Resistance of a wire R=

A

ρl

where ρ= resistivity, l= length, A= cross section of the wire.

As both have same material and length so R∝

A

1

Thus,

R

1

R

2

=

A

2

A

1

=

1

3

⇒R

2

=3R

1

.

here R

1

is the resistance of thicker wire so its resistance R

1

=10Ω (given)

so, R

2

=3(10)=30Ω

As they are connected in series so the equivalent resistance is

R

eq

=R

1

+R

2

=10+30=40Ω

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Answer 2

Answer:

False

Explanation:

Based on Resistance = Resistivity * Length/Area and Ohms Law it is Not possible