Module 2 Problem 5

(149%) Problem 5: A hollow non-conducting spherical shell has inner radius R, = 5 cm and outer radius Ro = 15 cm. A charge O=-35 nC lies at the center of the shell. The shell carries a spherically symmetric charge density p = Ar for Ry = 0.5R? Given your answer in units of kN/C, and take the positive direction outwards. Grade Summary E(0.5R) = Deductions 096 Potential 10096 sm() Cost tan( 1 ( 7 8 9 HOME Submissions Attempts remaining: 10 cotan( ) asin( acos() F 5 (596 per attempt) atan() acotan( ) sinh( ) 1 2 3 detailed view cosh() tanh() cotanh( ) T END O Degrees O Radians NO BACKSPACE CLEAR Submit Hint Feedback I give up! Hints: 0 for a 096 deduction. Hints remaining: _0 Feedback: 096 deduction per feedback.& 25% Part (c) What is the radial electric field at the point = 0.5(Ry+R,)? Give your answer in units of kN/C. Grade Summary E(0.5(R,+Ry) = Deductions 096 Potential 1009% sin() COSQ tan() 7 HOME Submissions Attempts remaining: 10 cotan() azin( acos0 6 (596 per attempt) atan() acotan() sinh( 1 2 3 detailed view cosh( tanh() cotanh() END O Degree: O Radians HACKSPACE CLEAR Submit Hint Feedback I give up! Hints: 09% deduction per hint. Hints remaining: 2 Feedback: 096 deduction per feedback.&25% Part (d) What is the radial electric field at the point > = 2R,? Give your answer in units of KN/C. Grade Summary E(2R.) = Deductions 096 Potential 1009% sin() Cos() tan 7 HOME Submissions Attempts remaining - 10 cotan( ) asin() acos() E 4 5 6 (596 per attempt) atan() acotan( sinh( 1 2 3 detailed view cosh() tanh( cotanh() END O Degrees O Radians NO HACKSPACE CLEAR Submit Hint Feedback I give up! Hints: 09% deduction per hint. Hints remaining: 4 Feedback: 096 deduction per feedback.(14%) Problem 6: A 3-g insulating ball is connected as shown to a large sheet of charge by a 0.1-m string. The ball has a net charge of 0.2 JC and has an equilibrium position of e = 29. Randomized Variables My=3 8 = 290\f& Enter the surface charge density of the sheet, in microcoulombs per square meter. Grade Summary Deductions 096 Potential 1009% sin() tan() 7 9 HOME Submissions Attempts remaining: 10 cotan() asin() acos( 4 5 (596 per attempt) atan() acotan() zinho 1 2 3 detailed view cosh( tanh() cotanh() + END O Degrees O Radians BACKSPACE INII. CLEAR Submit Hint Feedback I give up! Hints: 096 deduction per hint. Hints remaining: 2 Feedback: 09% deduction per feedback.(14%) Problem 7: An infinitely long cylindrical conducting shell of outer radius ry = 0.10 m and inner radius , = 0.08 m initially carries a surface charge density o = -0.45 pC/m . A thin wire, with linear charge density 1 = 1.1 uC/m, is inserted along the shells' axis. The shell and the wire do not touch and there is no charge exchanged between them.O33% Part (a) What is the new surface charge density, in microcoulombs per square meter, on the inner surface of the cylindrical shell? AC/m2 Grade Summary Deductions 096 Potential 10090 sin() tan() 7 9 HOME Submissions cotan() asin() F Attempts remaining: 10 acos( (506 per attempt) atan( acotan () sinhO 1 2 3 detailed view coshO tanh() cotanh( - 0 END O Degrees O Radians BACKSPACE CLEAR Submit Hint Feedback I give up! Hints: 096 deduction per hint. Hints remaining: 1 Feedback: 09% deduction per feedback.33% Part (b) What is the new surface charge density, in microcoulombs per square meter, on the outer surface of the cylindrical shell? Grade Summary AC/m? Deductions 046 Potential 10096 sin() tan() 7 2 9 HOME Submissions Attempts remaining: 10 cotan() asm() acos() 4 (506 per attempt) atan() acotan () sinhO 1 2 3 detailed view coshO tanh() cotanh( + 0 END ODegrees O Radians BACKSPACE CLEAR Submit Hint Feedback I give up! Hints: 096 deduction per hint. Hints remaining: 2 Feedback: 09% deduction per feedback.33% Part (c) Enter an expression for the magnitude of the electric field outside the cylinder (> > 0.1 m), in terms of 1, 7, m, r, and ep. Grade Summary E = Deductions 046 Potential 1009% 7 9 HOME Submissions Attempts remaining: 10 5 (506 per attempt) 1 2 3 detailed view + END BACKSPACE CLEAR Hint Feedback I give up! Hints: 096 deduction per hint. Hints remaining: 1 Feedback: 09% deduction per feedback