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} $