Magnetic effect of current

Magnetic effect of current Force on a moving charge in magnetic field Kinetic energy of the particle K.E =  Radius of the circular path Angular velocity of the charged particle is  =  Time period of charged particle is  LORENTZ FORCE  =  Biot-Savart's law  (i)  (vector form) (ii)  (scalar form) Comparison of Biot-Savart's law with Coulomb's law. Electrostatic field  Ampere's circuital law    Magnetic field due to circular current- (i) Baxis =  N ® number of turns of coil. (ii) Bcentre  Solenoid (i) Magnetic field inside the solenoid (ii) If the solenoid is of infinite length Bin = 0 ni Torid Force between two parallel current carrying conductors TORQUE ON A CURRENT LOOP IN UNIFORM MAGNETIC FIELD . In vector form Magnetic Potential energy as : . Work done in turning the coil through an angle 'q' from the field direction is W = MB (1 - cos ) MOVING COIL GALVANOMETER  Current sensitivity of MCG is the deflection per unit current Voltage applied across the galvanometer coil. Voltage sensitivity =  TANGENT GALVANOMETER Here, K=reduction factor Shunt (i) Current through galvanometer (ii) Current through shunt (iii) Fractional current passing through the galvanometer (iv) Fractional current passing through the shunt (v) Power of the shunt =  Shunt resistance where  If the range of ammeter of resistance GA is to be increased form i1 to i2 then the shunt resistance to be connected is Effective resistance of ammeter when the galvanometer is shunted is VOLTMETER The value of series resistance 'R' to be connected to convert galvanometer into a voltmeter is If the range of a voltmeter of resistance GV is increased from V1 to V2 then the resistance R to be connected in series is R = (n - 1)G ( Cyclotron frequency Maximum energy of particle in a cyclotron E max =