Electro Magnetic Induction And Alternating Currents Question 535

Question: When the number of turns in a coil is doubled without any change in the length of the coil, its self inductance becomes [MP PMT 1986; CBSE PMT 1992; Pb PET 2000]

Options:

A) Four times

B) Doubled

C) Halved

D) Unchanged

Show Answer

Answer:

Correct Answer: A

Solution:

$ L\propto N^{2}\ i.e.\frac{L_{1}}{L_{2}}={{( \frac{N_{1}}{N_{2}} )}^{2}}\Rightarrow L_{2}=L_{1}{{( \frac{N_{2}}{N_{1}} )}^{2}}=4L_{1} $



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