The correct option is 2 but how to solve it ??
Answers
Answer:
,
ANSWER IS option 2
Explanation:
By the formula ,
electric field due to infinite long wire at a distance R is ,
2k ( lamda) / R
where lamda = charge per unit length
= Q/L
where ,
Q is charge and L is length .
now suppose that we want to calculate the force on second wire due to first wire.
therefore we will consider charge of second wire and electric field of first wire .
FORCE = Q×E
but ,
E = 2K ( lamda 1) / R .
THEREFORE ,
F = 2K( lamda 1) ×Q/ R
But we have to calculate force per unit length, so dividing both the sides by 'L '
F / L = 2K(lamda1) ×Q/RL
BUT ,
Q/L = lamda 2 ( charge per unit length)
therefore final expression will be ,
F/L = 2K(lamda 1 ) ( lamda 2 ) / R
NOTE .
Q / L = lamda 2 ... not lamda 1 because we are considering charge of second wire and electric field of first wire.
hope it will help you .✌✌✌