Amagnetic field is aligned perpendicular to the plane of a circular loop of wire with radius 5.0 cm and 20 turns. the magnetic field b changes with time t according to the following function: b 12 exp(-3t) +1.5t +6 t determine the induced emf in the circular loop of wire as a (i) function of time, and the time at which the induced emf is 0.1 v. (ii) if the magnetic fieldis instead aligned at 30° with respect to the normal of the circular loop of wire, find the induced emf as a function of time.

Part b)

Explanation:

magnetic field due to external source is given as

area of the loop is given as

Now we have

now we need to find the time at which voltage is 0.1 Volts so we have

Part b)

If magnetic field is inclined at an angle of 30 degree with the normal of the loop then

now we know that induced EMF is given as

an ion is a charged atom or molecule. it is charged because the number of electrons do not equal the number of protons in the atom or molecule. an atom can acquire a positive charge or a negative charge depending on whether the number of electrons in an atom is greater or less then the number of protons in the atom.