20. Four identical positive point charges (each having the same charge q) are initially at rest and infinitely separated. An amount of work is required to move these point charges to the four corners of a square with edge length L. Suppose there are three charges already positioned as shown in Figure 6. Calculate the work needed to bring.the fourth charge to point D. We define

(A) (4+√2)a
(B)
(C)
(D) (2+√2)α

1. The permeability of free space is denoted as to, and the permittivity of free space is denoted as ∈0. What is the unit of μ0/∈0? (A) W2/Amp4 (B) Amp²/Volt² (C) W/Amp (D) Volt/Amp

2. The unit of angular momentum is (A) Joule/sec. (B) Joule/sec². (C) Joule sec² (D) Joule sec.

3. The unit of the electric field E is Volt/m and the unit of the magnetic field B is N/Amp m. What is the unit of E/B? (A) W (B) W/m² (C) m/sec (D) Joule/m²

4.Assume a 70 (Hz) electromagnetic wave is sinusoidal wave propagating in the z-direction with electric field E pointing in x-direction with amplitude Eo-6.00 (Volt/m). What is the amplitude of the magnetic field B0? (A) (Tesla) (B) (Tesla) (C) (Tesla) (D) (Tesla)

5.Calculate the wavelength of a 95×106 (Hz) radio wave with amplitude E0=5.42.00 (Volt/m). (A) 4.24 (m) (B) 3.16 (m) (C) 5.12 (m) (D) 2.55 (m)

6.Calculate the self-inductance of a 0.7(m) long air-filled solenoid 3.5(cm) in diameter containing 6300 loops. (A)J 0.068 (H) (B) 0.043 (H) (C) 0.077 (H) (D) 0.054 (H)

7.Calculate the capacitance of a parallel plate capacitor whose plate are 370 (cm²) and are separated by a 2.3(mm) air gap. (A)(F) (B) (F) (C) (F) (D) (F)

8. An electron travels at the speed 4×107(m/sec) in a plane perpendicular to a uniform magnetic field. If the resulting radius of circular motion is r=7.3×(m), find the magnitude of the magnetic field B. (A) 0.024 (Tesla) (B) 0.043 (Tesla) (C) 0.031 (Tesla) (D) 0.052 (Tesla)

9. A magnet moves at high speed relative to an observer and passes by an electron that is stationary relative to the same observer. At the instant the north pole of the magnet passes directly beneath the electron (as shown in Figure1), in which direction will the force acting on the electron point? (A) (B) 2 (C) 3 (D) 4

10. There are two inclined planes, with angles θ1=60° and θ2=45° relative to the horizontal. Two objects with masses M₁=2(kg) and M2=1(kg) (both are initially at rest) slide down the inclined planes from the same height h as shown in Figure 2. Assuming the time taken to reach the bottom (point A in the figure) are t1 and t2 respectively, what is the ratio?  (A) t1/t2=0.816 (B) t1/t2= 1.224 (C) t1/t2=1.150g (D) t1/t2=0.707

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