HARD
12th ICSE
IMPORTANT
Earn 100

Discuss analogies and differences between Coulomb’s law and Biot-Savart’s law.

Important Questions on Moving Charges and Magnetic Field

HARD
12th ICSE
IMPORTANT
A current is flowing through a thin, straight metallic conductor of infinite length. Find expression for the magnetic field at a distance from it.
HARD
12th ICSE
IMPORTANT
Write an expression for Biot-Savart’s law in vector form. Derive an expression for magnetic field at the centre of a circular current-carrying coil of radius r, with N turns.    
HARD
12th ICSE
IMPORTANT
Obtain an expression for the magnetic flux density B at the centre of a circular coil of radius R  having N turns when a current I flows through it.
HARD
12th ICSE
IMPORTANT
State Ampere’s circuital law connecting the line integral of B over a closed path to the net current crossing the area bounded by the path.
Use the law to derive expression for magnetic field due to an infinitely-long straight current-carrying wire. Why is the above derivation not valid for magnetic field due to a current-carrying wire of finite length?
HARD
12th ICSE
IMPORTANT
State Ampere’s circuital law. Use it to obtain magnetic field due to a long, straight solenoid.
HARD
12th ICSE
IMPORTANT
Using Ampere’s circuital law, obtain an expression for the magnetic flux density ‘B’ at a point X at a perpendicular distance r from a long current-carrying conductor.    
HARD
12th ICSE
IMPORTANT
Give the defining vector equation of magnetic field B in terms of the force F acting on a charge q moving in the field with a velocity v. Using this equation, express the SI unit of B in terms of the fundamental (base) SI units.
HARD
12th ICSE
IMPORTANT
Derive an expression for the magnetic field inside a toroid. Explain how it is different from the result obtained in case of a tightly wound long-solenoid.