6- A cylindrical capacitor has an inner conductor of radius 1.5 mm and an outer conductor of radius 2.5 mm. The two conductors are separated by vacuum, and the entire capacitor is 2.8 m long. The potential of the inner conductor is 350 mV higher than that of the outer conductor. Find the charge (magnitude and sign) on both conductors.

Problem 5 Consider a parallel-plate capacitor with a plate area of A = 8.50 cm². The separation between the plates is d₂ = 3.00 mm (the space between the plates is filled with air). The plates of the capacitor are charged by a 6.00 V battery, i.e., the potential difference between the plates is V₂ = 6.00 V. The plates are then disconnected from the battery and pulled apart (without discharge) to a sepa- ration of df = 8.00 mm. In the following, neglecting any fringing effects. (a) Will the new potential difference between the plates be larger, smaller, or the same compared to the initial potential difference of V₂ = 6.00 V? Explain. (Hint: Note that the charge will not change when the plates are pulled apart. Why is that?) (b) Find the potential difference Vf between the plates after the plates have been pulled to their new, larger separation df. (c) Find the electrostatic energy stored in the capacitor before and after the plates are pulled apart. (d) To separate the plates, you will…

A parallel-plate capacitor is constructed using a dielectric material whose dielectric constant is 3.30 and whose dielectric strength is 1.20 x 108 V/m. The desired capacitance is 0.300 μF, and the capacitor must withstand a maximum potential difference of 4.00 kV. Find the minimum area of the capacitor plates. m²

Capacitance  Problem 18:   A cylindrical capacitor is made of two concentric conducting cylinders. The inner cylinder has radius R1 = 19 cm and carries a uniform charge per unit length of λ = 30 μC/m. The outer cylinder has radius R2 = 45 cm and carries an equal but opposite charge distribution as the inner cylinder. Part (b)  Calculate the electric potential difference between the outside and the inside cylinders in V.  Part (c)  Calculate the capacitance per unit length of these concentric cylinders in F/m.

Consider two separate systems with four charges of the same magnitude q = 16 µC arranged in the vertexes of a square of length h = 35 cm, see the picture below. Calculate the electric potential at the center of the square (points A and C) and at the middle of the bottom side of the square (points B and D). h A. C. h B D -4 The potential at point A, VA = 2324567.7 x Units V The potential at point B, Ve = 2378380.6 Units V The potential at point C, Vc =0 Units V The potential at point D, V, = -908380.8: v Units v How much work is required to move a -12 µC charge from point A to point B? The work required, W = -0.64575 xUnits J How much work is required to move a -12 µC charge from point C to point D? Units J The work required, Wc-p = 10.90

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