If C = 21 pF, determine the equivalent capacitance for the combination shown. 5)
ID: 1409919 • Letter: I
Question
If C = 21 pF, determine the equivalent capacitance for the combination shown. 5) A 40-mu F capacitor and a 25-mu F capacitor are connected in series, and this combination is charged to a potential difference of 31 V. How much energy is then stored in this capacitor combination? 6) The charge q1 = +5 times 10^-9 C and q2 = +8 times 10^-9 C are placed 40.0 cm apart. A third particle of mass 30 mug and charge q3 = -3 times 10^-9 C is placed between the two particles such that it is 25 cm from q1 as shown the diagram below. Determine the acceleration of of the chage q3 as a result of the net force applied by the two other charges 7) Three charges q1, q2, and q3 are arranged at the corners of a rectangle of sides L and H as shown in the diagram below. What is the electrostatic potential energy necessary to bring a test charge qo from infinty and place it at the open comer? The value of the charges and the sides of the rectangle are as indicated in the table below.Explanation / Answer
4) Equivalent capacitance = 10.5 pF
5) Energy stored = 1/2 * 15.38 * 10-6 * 31 * 31
= 7.4 mJ
6) Force on charge q3 = 8.98 * 109 * 24 * 10-18/0.152 - 8.98 * 109 * 15 * 10-18/0.252
= 9.578 * 10-6 - 2.155 * 10-6
= 7.423 * 10-6 N
=> acceleration = 7.423 /20
= 0.37 m/sec2
7) Here , Electrostatic potential energy = KQq/r
= 8.98 * 109 * 5 * 10-6 * ( - 5 * 10-6/0.15 + 7 * 10-6/0.17 + 8 * 10-6/0.08)
= 4.85 J