May someone please help me with 6e4, I am very confused. 6e1. A 100 turn solenoi
ID: 1757312 • Letter: M
Question
May someone please help me with 6e4, I am very confused.6e1. A 100 turn solenoid's dimensions are:l = 0.2m, r = 0.025m. Calculate the L. {n = N/ l }
L=NoN^2A/L
L=(4pi*10^-7Tm/A)(100)^2(0.025m)^2/(0.2m)
L=3.93*10^-5Tm^2/A=0.393 mH
6e2. Calculate the induced voltage if thecurrent through above solenoid is changing at the rate of 100A/s.
E=-L(change I)/(change t)
E= -(3.93*10^-5 H)(100 A/s)
E= 3.93 mv= 3.93*10^-3
6e3. Calculate the stored magnetic energyin the above solenoid if the current is 5 A at a given time.
PE_L=1/2LI^2max= ½(3.93*10^-5 H)(5A)^2= 9.83*10^-4 J
6e4. Calculate mutual inductance betweentwo coils if 50 A/s rate of change of current through one coilinduces 2 volts across another coil.
Explanation / Answer
Mutual inductance is given by