Please show all work and specify which answer choice is the correct one, please

Question

Please show all work and specify which answer choice is the correct one, please do not leave an answer that is not one of the choices. Thanks!

An air-filled capacitor is formed from two long conducting cylindrical shells that are coaxial and have radii of 12 mm and 105 mm. The electric potential of the inner conductor with respect to the outer  conductor is - 500 V (k = 1/4 0 = 8.99 × 109 N · m2/C2) The energy stored in a 1.0-m length of this capacitor is closest to

Explanation / Answer

Taking the dielectric constant (k) of air as 1, the capacitance per metre is 2 / ln(b/a).

For a 1m length:

C = 2 / ln(105/12) = 2.564 x 10¹¹ F
Energy stored = ½CV² = ½ x 2.564 x 10¹¹ x 500² = 3.205 x10 J = 3.2 micro J

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

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