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CBSE - Class 12 Physics Electromagnetic Waves Worksheet

1.

Figure 8.5 shows a capacitor made of two circular plates each of radius 12 cm, and separated by 5.0 cm. The capacitor is being charged by an external source (not shown in the figure). The charging current is constant and equal to 0.15A. (b) Obtain the displacement current across the plates.

2.
The terminology of different parts of the electromagnetic spectrum is given in the text. Use the formula $(E = h\nu)$ (for energy of a quantum of radiation: photon) and obtain the photon energy in units of eV for different parts of the electromagnetic spectrum. In what way are the different scales of photon energies that you obtain related to the sources of electromagnetic radiation?
3.
A plane electromagnetic wave travels in vacuum along z-direction. What can you say about the directions of its electric and magnetic field vectors? If the frequency of the wave is 30 MHz, what is its wavelength?
4.

Figure 8.5 shows a capacitor made of two circular plates each of radius 12 cm, and separated by 5.0 cm. The capacitor is being charged by an external source (not shown in the figure). The charging current is constant and equal to 0.15A. (c) Is Kirchhoff’s first rule (junction rule) valid at each plate of the capacitor? Explain.

5.

A parallel plate capacitor (Fig. 8.6) made of circular plates each of radius $R = 6.0$ cm has a capacitance $C = 100$ pF. The capacitor is connected to a $230$ V ac supply with a (angular) frequency of $300 \text{ rad s}^{-1}$. (c) Determine the amplitude of $B$ at a point 3.0 cm from the axis between the plates.

6.
In a plane electromagnetic wave, the electric field oscillates sinusoidally at a frequency of $(2.0 \times 10^{10} \text{ Hz})$ and amplitude $(48 \text{ V m}^{-1})$.
(a) What is the wavelength of the wave?
7.
Suppose that the electric field amplitude of an electromagnetic wave is $E_0 = 120$ N/C and that its frequency is $\nu = 50.0$ MHz. (a) Determine, $B_0, \omega, k$, and $\lambda$.
8.
Suppose that the electric field amplitude of an electromagnetic wave is $E_0 = 120$ N/C and that its frequency is $\nu = 50.0$ MHz. (b) Find expressions for $E$ and $B$.
9.
A radio can tune in to any station in the 7.5 MHz to 12 MHz band. What is the corresponding wavelength band?
10.
What physical quantity is the same for X-rays of wavelength $(10^{-10} \text{ m})$, red light of wavelength $(6800 \text{ Å})$ and radiowaves of wavelength 500m?
11.

Figure 8.5 shows a capacitor made of two circular plates each of radius 12 cm, and separated by 5.0 cm. The capacitor is being charged by an external source (not shown in the figure). The charging current is constant and equal to 0.15A. (a) Calculate the capacitance and the rate of change of potential difference between the plates.

12.
A radio can tune in to any station in the $7.5$ MHz to $12$ MHz band. What is the corresponding wavelength band?
13.

A parallel plate capacitor (Fig. 8.6) made of circular plates each of radius $(R = 6.0 \text{ cm})$ has a capacitance $(C = 100 \text{ pF})$. The capacitor is connected to a 230 V ac supply with a (angular) frequency of $(300 \text{ rad s}^{-1})$. (c) Determine the amplitude of $(B)$ at a point 3.0 cm from the axis between the plates.

14.
A plane electromagnetic wave travels in vacuum along $z$-direction. What can you say about the directions of its electric and magnetic field vectors? If the frequency of the wave is $30$ MHz, what is its wavelength?
15.
Suppose that the electric field amplitude of an electromagnetic wave is $(E_{0} = 120 \text{ N/C})$ and that its frequency is $(n = 50.0 \text{ MHz})$.
(b) Find expressions for $(E)$ and $(B)$.
16.
What physical quantity is the same for X-rays of wavelength $10^{-10}$ m, red light of wavelength $6800$ Å and radiowaves of wavelength $500$m?
17.
Suppose that the electric field amplitude of an electromagnetic wave is $(E_{0} = 120 \text{ N/C})$ and that its frequency is $(n = 50.0 \text{ MHz})$.
(a) Determine, $(B_{0})$, $(\omega)$, $(k)$, and $(\lambda)$.
18.
In a plane electromagnetic wave, the electric field oscillates sinusoidally at a frequency of $2.0 \times 10^{10}$ Hz and amplitude $48 \text{ V m}^{-1}$. (a) What is the wavelength of the wave?
19.

A parallel plate capacitor (Fig. 8.6) made of circular plates each of radius $R = 6.0$ cm has a capacitance $C = 100$ pF. The capacitor is connected to a $230$ V ac supply with a (angular) frequency of $300 \text{ rad s}^{-1}$. (b) Is the conduction current equal to the displacement current?

20.

Figure 8.5 shows a capacitor made of two circular plates each of radius 12 cm, and separated by 5.0 cm. The capacitor is being charged by an external source (not shown in the figure). The charging current is constant and equal to 0.15A. (a) Calculate the capacitance and the rate of change of potential difference between the plates.

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