Four capacitors are connected as shown in the figure. If \(C_1=2\,\mu F\), \(C_2=3\,\mu F\), \(C_3=5\,\mu F\) and \(C_4=10\,\mu F\), then the equivalent capacitance between points \(A\) and \(B\) is:

• (A) \(20\,\mu F\)
• (B) \(5\,\mu F\)
• (C) \(10\,\mu F\)
• (D) \(0\,\mu F\)

Four capacitors are connected in a circuit as shown in the figure. The effective capacitance between \(P\) and \(Q\) is:

• (A) \(10\,\mu F\)
• (B) \(5\,\mu F\)
• (C) \(2\,\mu F\)
• (D) \(7.5\,\mu F\)

In the figure given below, the resultant capacitance between points \(A\) and \(B\) is:

• (A) \(20\,\mu F\)
• (B) \(\dfrac{20}{3}\,\mu F\)
• (C) \(\dfrac{40}{3}\,\mu F\)
• (D) \(10\,\mu F\)

Three capacitors have capacitances 2 \(\mu\)F, 4 \(\mu\)F and 8 \(\mu\)F. When they are connected in a way to give minimum capacitance, their effective capacitance is:

• (A) 8 \(\mu\)F
• (B) 14 \(\mu\)F
• (C) 1.14 \(\mu\)F
• (D) 11.4 \(\mu\)F

A network of five capacitors is shown in the figure. The total charge stored in the network connected between \(A\) and \(B\) is:

• (A) \(8\,\mu C\)
• (B) \(10\,\mu C\)
• (C) \(9\,mC\)
• (D) \(10\,mC\)

A 12 pF capacitor is connected to a 50 V battery. The electrostatic energy stored in the capacitor is:

• (A) 2.5 \(\times\) 10\(^{-6}\) J
• (B) 3.5 \(\times\) 10\(^{-8}\) J
• (C) 2.5 \(\times\) 10\(^{-8}\) J
• (D) 1.5 \(\times\) 10\(^{-8}\) J

A 10 pF capacitor is connected to a 24 V battery. The electrostatic energy stored in the capacitor is:

• (A) 11.52 \(\times\) 10\(^{-9}\) J
• (B) 1.2 \(\times\) 10\(^{-9}\) J
• (C) 5.76 \(\times\) 10\(^{-9}\) J
• (D) 2.88 \(\times\) 10\(^{-9}\) J

A wire of uniform cross-section A, length l and resistance R is bent into a complete circle. The equivalent resistance between any two diametrically opposite points will be:

• (A) R/4
• (B) R/8
• (C) 4R
• (D) R/2

A uniform wire of resistance R is cut into four equal parts. These parts are then connected in parallel. The equivalent resistance of the combination is:

• (A) R
• (B) R/4
• (C) R/16
• (D) 4R

Four resistors of 8\(\Omega\) each are connected in parallel. Then five such equivalent combinations are connected in series. What will be the total resistance?

• (A) 10\(\Omega\)
• (B) 2\(\Omega\)
• (C) 12\(\Omega\)
• (D) 2.5\(\Omega\)