A long coaxial cable consists of two thin-walled conducting cylinders with inner radius 2 cm and outer radius 8 cm. The inner cylinder carries a steady current 0.1 A, and the outer cylinder provides the return path for that current. The current produces a magnetic field between the two cylinders. Find the energy stored in the magnetic field for length 5 m of the cable. Express answer in nano-J (use ln2 = 0.7).
The magnetic field inside is only due to the current of the inner cylinder.
Magnetic field energy density is not uniform in the space between the cylinders. At a distance r from the centre,
Energy in volume of element (length )
Using values, we get U = 7 nJ
Similar Questions
A capacitor of capacity is charged to a potential difference of 12 V.It is then connected across an inductor of inductance . What is the current (in A) in the circuit at a time when the potential difference across the capacitor is 6.0 V?
Want to Improve your productivity
talk to our academic experts now !!
799 666 8865
support@infinitylearn.com
6th Floor, NCC Building, Durgamma Cheruvu Road, Vittal Rao Nagar, HITEC City, Hyderabad, Telangana 500081.
JEE Mock Tests
JEE study guide
JEE Revision Notes
JEE Important Questions
JEE Sample Papers
JEE Previous Year's Papers
NEET previous year’s papers
NEET important questions
NEET sample papers
NEET revision notes
NEET study guide
NEET mock tests