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A hollow non-conducting spherical shell has inner radius R1 = 6 cm and outer radius R2 = 12 cm. A charge Q = -35 nC lies at the center of the shell. The shell carries a spherically symmetric charge density p = Ar for R1

A hollow non-conducting spherical shell has inner radius R1 = 6 cm and outer radius R2 = 12 cm. A charge Q = -35 nC lies at the center of the shell. The shell carries a spherically symmetric charge density p = Ar for R1

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A hollow non-conducting spherical shell has inner radius R, = 6 cm and outer radius R, = 12 cm. A charge O = -35 nC lies at the center of the shell. The shell carries a spherically symmetric charge density p = Ar for R1 <p<R2 that increases linearly with radius, where A = 19 µC/m*. R2 Part (a) Write an equation for the radial electric field in the region r < R, in terms of Q, r, and Coulomb's constant k. You may take the positive direction as outward. E, <R, = k Qr V Correct! Part (b) What is the radial electric field at the point r = 0.5R, ? Given your answer in units of kN/C, and take the positive direction outwards. E(0.5R) = - 350 E(0.5R1) = -350 Correct! Part (c) What is the radial electric field at the point r = 0.5(R,+R2)? Give your answer in units of kN/C. E(0.5(R,+R2)) = sin() cos() tan) 8 9 HOME cotan() asin() acos() E. 4 6. atan() acotan() sinh() 1 ev tanh() O Degrees O Radians cosh() cotanh() - END vol BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Part (d) What is the radial electric field at the point r = 2R2? Give your answer in units of kN/C.
Transcribed Image Text:A hollow non-conducting spherical shell has inner radius R, = 6 cm and outer radius R, = 12 cm. A charge O = -35 nC lies at the center of the shell. The shell carries a spherically symmetric charge density p = Ar for R1 <p<R2 that increases linearly with radius, where A = 19 µC/m*. R2 Part (a) Write an equation for the radial electric field in the region r < R, in terms of Q, r, and Coulomb's constant k. You may take the positive direction as outward. E, <R, = k Qr V Correct! Part (b) What is the radial electric field at the point r = 0.5R, ? Given your answer in units of kN/C, and take the positive direction outwards. E(0.5R) = - 350 E(0.5R1) = -350 Correct! Part (c) What is the radial electric field at the point r = 0.5(R,+R2)? Give your answer in units of kN/C. E(0.5(R,+R2)) = sin() cos() tan) 8 9 HOME cotan() asin() acos() E. 4 6. atan() acotan() sinh() 1 ev tanh() O Degrees O Radians cosh() cotanh() - END vol BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Part (d) What is the radial electric field at the point r = 2R2? Give your answer in units of kN/C.
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