If the number of turns per unit length of a coil of solenoid is doubled, the self-inductance of the solenoid will

Question

If the number of turns per unit length of a coil of solenoid is doubled, the self-inductance of the solenoid will (A) remain unchanged (B) be halved (C) be doubled (D) become four times

Tardigrade Admin · Accepted Answer

Self inductance of a solenoid =μ0n2Al where n is the number of turns per length ∴ Self inductance is directly proportional to n2 Self inductance becomes 4 times when n is doubled

Q. If the number of turns per unit length of a coil of solenoid is doubled, the self-inductance of the solenoid will

remain unchanged

be halved

be doubled

become four times

Self inductance of a solenoid $= μ_{0} n^{2} A l$
where $n$ is the number of turns per length
$∴$ Self inductance is directly proportional to $n^{2}$ Self inductance becomes $4$ times when $n$ is doubled

Q. If the number of turns per unit length of a coil of solenoid is doubled, the self-inductance of the solenoid will

remain unchanged

be halved

be doubled

become four times

Self inductance of a solenoid =μ0​n2Al where n is the number of turns per length ∴ Self inductance is directly proportional to n2 Self inductance becomes 4 times when n is doubled

Self inductance of a solenoid $= μ_{0} n^{2} A l$
where $n$ is the number of turns per length
$∴$ Self inductance is directly proportional to $n^{2}$ Self inductance becomes $4$ times when $n$ is doubled