Question

A wire has a length of 2:0 m and a resistance of 5:0 2.
Find the elecric field existing inside the wire if it carries
a current of 10 A.​

Answer 1

$\huge\mathbb{\purple{QUESTION-}}$

A wire has a length of 2.0m and a resistance of 5.0 Ω .Find the elecric field existing inside the wire if it carries a current of 10 A.

$\huge\mathbb{\purple{SOLUTION-}}$

$\large\underline{\underline{\sf Given:}}$

• Lenght of wire (l) = 2 m
• Resistance (R) = 5Ω
• Current (i) = 10A

$\large\underline{\underline{\sf To\:Find:}}$

• Electric field inside the wire (E)

⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯

As we know ,

$\large{\boxed{\sf \orange{E = \dfrac{\triangle V}{\triangle L}} }}$

$\implies{\sf V = iR}$

$\implies{\sf V = 10×5 }$

$\implies{\sf \blue{ V = 50\: Volt} }$

$\large\implies{\sf E = \dfrac{V}{l} }$

$\implies{\sf E = \dfrac{50}{2} }$

$\implies{\bf \red {E = 25\:V/m}}$

$\huge\mathbb{\purple{ANSWER-}}$

Electric field inside the wire is ${\bf \red{25\:V/m}}$