Electro Magnetic Induction And Alternating Currents Question 345

Question: What is the mutual inductance of a two-loop system as shown with centre separation l

Options:

A) $ \frac{{\mu_{0}}\pi a^{4}}{8l^{3}} $

B) $ \frac{{\mu_{0}}\pi a^{4}}{4l^{3}} $

C) $ \frac{{\mu_{0}}\pi a^{4}}{6l^{3}} $

D) $ \frac{{\mu_{0}}\pi a^{4}}{2l^{3}} $

Show Answer

Answer:

Correct Answer: D

Solution:

Magnetic field at the location of coil (2) produced due to coil (1) $ B_{1}=\frac{{\mu_{o}}}{4\pi }.\frac{2M}{l^{3}} $ Flux linked with coil (2)

$ {\varphi_{2}}=B_{1}A_{2}=\frac{{\mu_{o}}}{4\pi }\frac{2i\ (\pi a^{2})}{l^{3}}\times (\pi a^{2}) $

Also $ {\varphi_{2}}=Mi $
$ \Rightarrow M=\frac{{\mu_{o}}\pi a^{4}}{2l^{3}} $



जेईई के लिए मॉक टेस्ट

एनसीईआरटी अध्याय वीडियो समाधान

दोहरा फलक