Answer any S questions. Each question is worth 3.5 points. 1· Four particles for

Question

Answer any S questions. Each question is worth 3.5 points. 1· Four particles form a square as shown in Fig.1. The length of each side is 10 cm. The charges are 2. There are two charges on the X-axis as shown in Fig. 2. A-200 C charge is located at-2 cm and 3. Three charges are located on the Y-axis at -2, 0, and 2 cm, as shown in Fig.3. The charges Q1 a 1.2.00 pC Q3-2.00 pC Q4--2.00 C, what is the value of Q2 if the net force on Q4 is zero? (Fig.1). another-200 .charge is located at 2 cm. What is the net force on a on the Y-axis at 2 cm? C test charge located and Q3 are 10 yiC each. What is the value of Q2 if the net electric field, at point P, is zero? There are two rings, each of radius 10 cm and are separated by a distance of 10 cm, as shown in Fig.4. The centers of the rings are located on the X-axis at -5 cm (ring 1) and 5 cm (ring 2). Ring1 has a charge of 20 C and ring 2 has a charge of 20uc what is the electric field on the X-axis at the origin? There is a conducting spherical shell of inner radius 20 cm and outer radius 22 cm. A charge of 20 uC cm (c) 23 cm and (d) 4. 5. is added to the spherical shell. What is the electric field at a distance of (a) 15 cm (b) 21 center of the spherical shel? of 200 uC is added to a square sheet made of copper, whose side is 20 cm long. What 30 cm from the 6. Acharge electric field at a distance 2 cm above the surface of the sheet? What is the electric flux leaving the surface? Two charges are located on the Y-axis at-2cm (-2 potential on the Y-axis at 20 cm mark (location of the point)? What is the electric potential on the X-axis at 20 cm mark (location of the point)? 7. and 2 cm (2 pC), what is the electric 8. The electric potential at points in a plane described by V 2x'+ 4y. What is the electric field at a 9. 10. A parallel plate capacitor has a capacitance of 100 pF. Each of its plates has an area of 0.1 m2 point given by (4m, 5m). Find the equivalent capacitance of the circuit shown in Fig. 5.c1-1, C2+ 2 , C3-3 , C4 What is the plate separation? If the region between the plates is filled with mica having dielectric constant of K-2.8, what is the capacitance? The capacitor plates are given a charge 20 c, what is the energy density before and after the insertion of the dielectric? A 3 o em 3 3 C 2 (00) Fig.4

Explanation / Answer

1] In order to make net force on Q4 zero, we will try to make electric field at Q4 zero, electric field due to q2, cancels that due to q1 and q3,

kQ2/[2 a^2] = kQ1/a^2 cos 45 degree +kQ3/a^2 cos 45 degree

Q2/2 = Q1 cos 45 degree + Q3 cos 45 degree

Q2 = 2*2*cos 45 degree + 2*2* cos 45 degree

= 5.657 uC. answer

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