Question

When the area of cross section of a conductor is doubled its resistance becomes?

Answer 1

$\huge \red { \boxed{ \boxed{ \mathfrak{ \mid \ulcorner Answer : \urcorner \mid }}}}$

We have formula :-

$\huge{\boxed{\sf{R \: = \: \rho{\frac{L}{A}}}}}$

Where :-

L is length

R is resistance

A is Area of Cross Section

ρ is Resistivity

_____________

As the conductor is same so we can remove Resistivity.

______________________________

A.T.Q,

Area Becomes double

Means

A' = 2A

___________{Putting Values}

$\huge{\implies}{\boxed{\sf{R \: = \: {\frac{L}{2A}}}}}$

OR

$\huge{\implies}{\boxed{\boxed{\green{\sf{2R \: = \: {\frac{L}{A}}}}}}}$

•°• If Area Becomes Twice then resistance also get twiced.

Answer 2

$\huge{\boxed{\boxed{\mathfrak{\pink{Answer}}}}}$

We have formula :-

$\huge{\boxed{\sf{R \: = \: \rho{\frac{L}{A}}}}}$

Where :-

L is length

R is resistance

A is Area of Cross Section

ρ is Resistivity

_____________

As the conductor is same so we can remove Resistivity.

______________________________

A.T.Q,

Area Becomes double

Means

A' = 2A

___________{Putting Values}

$\huge{\implies}{\boxed{\sf{R \: = \: {\frac{L}{2A}}}}}$

OR

$\huge{\implies}{\boxed{\boxed{\green{\sf{2R \: = \: {\frac{L}{A}}}}}}}$

Therefore, if Area Becomes Twice then resistance also get twiced.