A parallel plate capacitor with circular plates of radius 1 m has a capacitance of 1 nF. At t = 0, it is connected for charging in series with a resistor R = 1 MΩ across a 2V battery (as shown in the figure). Find the magnetic field at a point P, halfway between the centre and the periphery of the plates, after t = 10–3 s. (The charge on the capacitor at time t is (t) = CV[1 – exp (–t/τ)], where the time constant τ is equal to CR.) 

1. 0.74×10-13 T2.  0.67×10-13 T3.  0.74×10-12 T4. 0.67×10-12 T

Subtopic:  Maxwell's Equations |
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A plane electromagnetic wave of frequency 25 MHz travels in free space along the x-direction. At a particular point in space and time, \(\vec{E_{0}}=6.3~ \hat{j}~V/m\)What is \(\vec{B_{0}}\) at this point?

1. 2.1×10-8 k^ T2. 1.2×10-8 k^ T3. 2.1×10-8 J^ T4. 1.2×10-8 J^ T

Subtopic:  Properties of EM Waves |
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The magnetic field in a plane electromagnetic wave is given byB=2×10-7T sin0.5×103x+1.5×1011t. The wavelength and frequency of the wave are respectively:

1. 2.16 cm, 24.1 GHz2. 0.29 cm, 13.7 GHz3. 3.23 cm, 20.0 GHz4. 1.26 cm, 23.9 GHz

Subtopic:  Properties of EM Waves |
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The magnetic field in a plane electromagnetic wave is given byB=2×10-7T sin0.5×103x+1.5×1011t. The expression for the electric field is:

1. Ez=60 sin0.5×103x+1.5×1011t V/m2.  Ez=60 sin1.5×103x+0.5×1011t V/m3.  Ez=55 sin0.5×103x+1.5×1011t V/m4.  Ez=55 sin1.5×103x+0.5×1011t V/m

Subtopic:  Properties of EM Waves |
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Light with an energy flux of 18 W/cm2 falls on a non-reflecting surface at normal incidence. If the surface has an area of 20 cm2, what is the average force exerted on the surface during a 30 minute time span?

1. 2.1×10-6 N2. 1.8×10-6 N3. 1.2×10-6 N4. 2.1×10-5 N

Subtopic:  Properties of EM Waves |
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Assume a bulb of efficiency 2.5% as a point source. The peak values of the electric field and magnetic field produced by the radiation coming from a 100W bulb at a distance of 3m are respectively:

1. 2.5 V/m, 2.2×10-8 T2. 3.6 V/m, 3.6 T3. 4.07 V/m, 1.4×10-8 T4. 4.2 V/m, 3.4×10-6 T

Subtopic:  Properties of EM Waves |
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