Module 3 Problem 4 Calculus Based Physics 2

(11%) Problem 4: The electric field in a certain region is given by the function E = Ak cos (kx) cos (by) i - Absin (kr) sin (by) j where A = 5.86 N - m/C, k =0.802 m , and b = 1.39 m . The points in the figure use the values T1 = 1.75 m and y = 2.61 m.\f& 17% Part (a) What is the change in electric potential, in volts, from point (0, 0) to point (x1, 0)? Grade Summary V(x1, 0) - 10, 0) = Deductions 096 Potential 1009% sin() COs( tan() 7 HOME Submissions Attempts remaining: 10 cotan( ) asin() acos() F A (596 per attempt) atan() sinh() 1 2 detailed view acotan() 3 cosh() tanh() cotanh() + END O Degrees O Radians HACKSPACE CLEAR Submit Hint Feedback I give up! Hints: 09% deduction per hint. Hints remaining: 3 Feedback: 096 deduction per feedback.17% Part (b) What is the change in potential, in volts, from point (x1: 0) to point (x1, y)? Grade Summary Wxy) - V(x1 0) = V Deductions Potential 1009% sin() cos() tan( 1 7 9 HOME Submissions Attempts remaining 10 cotan( ) acos() F 4 (596 per attempt) atan( ) acotan() sinh() 1 13 detailed view cosh( tanh() cotanh() T END O Degrees O Radians NO BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Hints: 09% deduction per hint. Hints remaining: 1 Feedback: 09% deduction per feedback.17% Part (c) What is the change in potential, in volts, from point (0, 0) to point (x1. )1), along the path that passes through (x1; 0)? Grade Summary Vry) - 10, 0) = V Deductions 096 Potential 1009% sin() cost tan() 7 HOME Submissions Attempts remaining 10 cotan() asin() acos() F 5 6 (596 per attempt) atan() acotan() sinh() 1 2 3 detailed view cosh( tanh() cotanh() END O Degree: O Radians NO HACKSPACE CLEAR Submit Hint Feedback I give up! Hints: 09% deduction per hint. Hints remaining: 1 Feedback: 096 deduction per feedback.& 17% Part (d) What is the change in electric potential, in volts, from point (0, 0) to point (0, y)? Grade Summary W(0, y1) - 10, 0) = V Deductions Potential 1009% sin() COs() tan() 7 HOME Submissions Attempts remaining 10 cotan() asinO acos() F A 5 (596 per attempt) 1 2 detailed view atan( ) acotan() sinh( 3 cosh() tanh() cotanh() END O Degrees O Radians NO BACKSPACE CLEAR Submit Hint Feedback I give up! Hints: 09% deduction per hint. Hints remaining: 1 Feedback: 096 deduction per feedback.17% Part (e) What is the change in electric potential, in volts, from point (0, y) to point (x1: y1)? Grade Summary Deductions 096 Potential 1009% sin() cosQ tan( 7 9 HOME Submissions Attempts remaining 10 cotan() asin( acoso E 4 (596 per attempt) atan() acotan() smh() 1 2 3 detailed view cosh( ) tanh() cotanh( ) T END O Degrees O Radians VO BACKSPACE CLEAR Submit Hint Feedback I give up! Hints: 09% deduction per hint. Hints remaining: 1 Feedback: 096 deduction per feedback.&17% Part (f) Find the value of the change in potential, in volts, from point (0, 0) to point (x1: ))- Grade Summary Vx1: y) - 10, 0) = Deductions 096 Potential 1009% sin( COSO tan() 7 HOME Submissions Attempts remaining 10 cotan() asin() acoso 5 (596 per attempt) atan() acotan() sinh( 1 2 3 detailed view cosh() tanh() cotanh() + END O Degrees O Radians VO BACKSPACE CLEAR Submit Hint Feedback I give up! Hints: 09% deduction per hint. Hints remaining: 1 Feedback: 096 deduction per feedback