A rod of length L lies along the x axis with its left end at the origin. It has a nonuniform charge density i = ax, where a is a positive constant. (a) What are the units of a? (Use SI unit abbreviations as necessary.) [a] =

Charge is distributed over a triangular region in the xy-plane bounded by the y-axis and the lines y = 5 – x and y = 1+ x. The charge density at a point (x, y) is given by o(x, y) = x + y, measured in coulombs per square meter (C/m 2). Find the total charge. Select one: а. 4 С Ов. 68 3 44 C 3 O c. O d. 20 37 C 3 е.

Answer C only

Two isolated metallic solid spheres of radii R and 2R are charged such that both of these have same charge density σ. The spheres are located far away from each other, and connected by a thin conducting wire. Find the new charge density on the bigger sphere.

Consider two charges q1=−40e and q2=−48e at positions (48,−46,29) and (32/√3, −10/√2 ,21) respectively where all the coordinates are measured in the scale of 10-9 m or nano meters. If position vector of the charge q1 is r⃗ 1 and charge q2 is r⃗ 2. Now consider another charge q3=−47e is in the xyz system positioned at (−41/√3, 42/√2, 35). Calculate the net force acting on q1 and q2. e) Calculate the net electric field at the position of q3 due to q1 and q2 charge. Note that, you cannot calculate electric field of q3 at it's own position. x component of the field y component of the field z component of the field

Consider two charges q1=−40e and q2=−48e at positions (48,−46,29) and (32/√3, −10/√2 ,21) respectively where all the coordinates are measured in the scale of 10-9 m or nano meters. If position vector of the charge q1 is r⃗ 1 and charge q2 is r⃗ 2. Now consider another charge q3=−47e is in the xyz system positioned at (−41/√3, 42/√2, 35). Calculate the net force acting on q1 and q2. c) Net Force on q1 due to other charges x component of the force y component of the force z component of the force d) Net Force on q2 due to other charges x component of the force y component of the force z component of the force

Problem 2: A certain lightning bolt moves Q = 35 C of charge. How many fundamental units of charge e is this? N = I sin() cos() cotan() asin() atan() acotan() cosh() tanh() O Degrees O Radians tan() π 7 acos() E ^^^ 4 sinh() 1 cotanh() * 8 9 5 6 2 3 + 0 VO BACKSPACE DEL HOME END CLEAR

help asap (not in scientific notation)

The figure below shows a small, charged bead, with a charge of q = +41.0 nC, that moves a distance of d = 0.174 m from point A to point B in the presence of a uniform electric field  E  of magnitude 255 N/C, pointing right. A positive point charge q is initially at point A, then moves a distance d to the right to point B. Electric field vector E points to the right. (a) What is the magnitude (in N) and direction of the electric force on the bead? magnitude Ndirection     (b) What is the work (in J) done on the bead by the electric force as it moves from A to B?  J (c) What is the change of the electric potential energy (in J) as the bead moves from A to B? (The system consists of the bead and all its surroundings.) PEB − PEA =  J (d) What is the potential difference (in V) between A and B? VB − VA =  V

A negative point charge Q1, is located at the origin. A rod of length L is located along the x axis with the near side a distance d from the origin. A positive charge Q2, is uniformly spread over the length of the rod.  After integrating the force from each slice over the length of the rod, the magnitude of the electric force on the charge at the origin can be represented as the following: F = (k |Q1| |Q2|) / (d (d + L)) Let L = 2.22m, d = 0.42m, Q1 = -6.29µC, and |Q2| = 11.1µC. Calculate the magnitude if the force in newtons that the rod exerts on the point charge at the origin.