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41 Maths Exercise Solutions

A parallel plate capacitor with circular plates of radius has a capacitance of . At , it is connected for charging in series with a resistor across a battery . Calculate the magnetic field at a point P, halfway between the centre and the periphery of the plates, after . The charge on the capacitor at time t is , where the time constant τ is equal to

A plane electromagnetic wave of frequency travels in free space along the At a particular polnt in space and time, What is at this point?

The magnetic field in a plane electromagnetic wave is given by .What is the wavelength and frequency of the wave.

The magnetic field in a plane electromagnetic wave is given by .Write an expression for the electric field.

Light with an energy flux of falls on a non reflecting surface at normal incidence. If the surface has an area of find the average force exerted on the surface during a minute time span.

Calculate the electric and magnetic fields produced by the radiation coming from a bulb at a distance of . Assume that the efficiency of the bulb is and it is a point source.

Figure shows a capacitor made of two circular plates each of radius , and separated by The capacitor is being charged by an external source (not shown in the figure). The charging current is constant and equal to .

Calculate the capacitance and the rate of charge of potential difference between the plates.

Calculate the capacitance and the rate of charge of potential difference between the plates.

Figure shows a capacitor made of two circular plates each of radius and separated by The capacitor is being charged by an external source (not shown in the figure). The charging current is constant and equal to . Obtain the displacement current across the plates.

Figure shows a capacitor made of two circular plates each of radius , and separated by The capacitor is being charged by an external source (not shown in the figure). The charging current is constant and equal to . Is Kirchhoff’s first rule junction rule valid at each plate of the capacitor? Explain.

A parallel plate capacitor (figure) made of circular plates each of radius cm has a capacitance pF. The capacitor is connected to a ac supply with a (angular) frequency of

What is the rms value of the conduction current?

What is the rms value of the conduction current?

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