A cylindrical capacitor consists of a small conducting cylinder or wire of radiu

Question

A cylindrical capacitor consists of a small conducting cylinder or wire of radius r_1 and a larger, concentric cylindrical conducting shell of radius r_2. The two conductors are separated by vacuum. Let L be the length of the capacitor, which carries a charge +Q on the inner conductor and a charge -Q on the outer conductor. Find the potential difference V_12 = V_1 - V_2 between the two conductors. Remember, that we found the electric field outside a long wire with liner charge density to be = Determine the capacitance of a cylindeical capacitor. A cylindrical capacitor has an inner conductor of radius 1.5 mm and an outer conductor of radius 3.5.. The entire capacitor is 2.8 m long. The potential of the innerconductor is 350 mV higher then that of the outer conductor. Find the charge on both conductors.

Explanation / Answer

Part C:

A cylindrical capacitor has an inner conductor of radius(ra) = 1.5 mm = 1.5*10-3m

The outer conductor of radius is(rb) = 3.5 mm = 3.5*10-3 m

The entire capacitor length (L) = 2.8 m

The permitivity of free space (o) = 8.85*10-12 C2/N.m2

the capacitance per unit length C/L = 2o / [ln(rb/ra)] = 6.56*10-11 F/m

Given that,

The potential of the inner conductor (V) = 350 mV = 350*10-3 V

The charge on each conductor is equal but they are oppsite.

Since the inner conductor is at higher potential, so, it ispositively charged with a magnitude Q = CV

Q = 2oLV / ln(rb/ra)

Charge on inner conductor, Qa = +7.16*10-11 C

Charge on outter conductor, Qb = - 7.16*10-11 C

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.