Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Please show the FORMULA first and then solve the values THE PROBLEM Air is an ex

ID: 1662057 • Letter: P

Question

Please show the FORMULA first and then solve the values

THE PROBLEM Air is an excellent insulator, but when the electric field strength exceeds E-3 MV/m, conduction through air can begin. The result is often dangerous sparking and arcing similar to lightning. Calculate the maximum potential on a metal sphere of radius R-2.5 cm that will not create sparking and arcing PAPER SOLUTION Solve the problem on paper first, including all four IDEA steps. You will become a better physicist that way! Have you finished your paper solution already? Oyes no INTERPRET Identify all of the true statements. A. The potential has its maximum value at the surface of the sphere. B. The electric field strength has its maximum value at the surface of the sphere C. The potential has its maximum value at the centre of the sphere. D. The electric field strength has its maximum value at the centre of the sphere. E. None of the above. DEVELOP Derive an algebraic expression for the maximum potential. Use the familiar convention of V 0 at infinity. EVALUATE

Explanation / Answer

E = electric field = 3 x 106 V/m

R = radius = 2.5 cm = 0.025 m

V = electric potential

electric potential is given as

V = E .R

V = (3 x 106) (0.025) = 75000 Volts