Derive the formula :, where L is distance, m is mass, z is charge, V is...

Derive the formula :, where L is distance, m is mass, z is charge, V is potential

Expert Solution

Potential at a point due to some charge or mass configuration is defined as it is numerically equal to work done in bringing the body of unit positive charge or mass from reference position (position of the body where force experience by it is zero) to a position of lenth l (here) such that it is never accelerated i.e. it always remains in the state of quasistatic equilibrium.

genius_generous answered 2 years ago

Derive the charge-to-mass ratio formula for an electron in terms of ∆Vd (deflecting voltage), ∆Va (accelerating...

Derive the charge-to-mass ratio formula for an electron in terms of ∆Vd (deflecting voltage), ∆Va (accelerating voltage), I, R, d, k, and N.

A box of mass M is pushed a distance L across a level floor by a...

A box of mass M is pushed a distance L across a level floor by a constant applied force P. The coefficient of kinetic friction between the box and the floor is μ. Assuming the box starts from rest, express the final velocity vf of the box in terms of M, L, P, μ, and g.

charge qA and qB separated by a distance L = 12 m, see figure. The potential...

charge qA and qB separated by a distance L = 12 m, see figure. The potential V is zero at a distance a = 3.9 m. Find the charge qA if qB = -2.7 C.

A negative charge, -q, has a mass, m, and an initial velocity, v, but is infinitely...

A negative charge, -q, has a mass, m, and an initial velocity, v, but is infinitely far away from a fixed large positive charge of +Q and radius R such that if the negative charge continued at constant velocity it would miss the center of the fixec charge by a perpendicular amount b. But because of the Coulomb attraction between the two charges the incoming negative charge is deviated from its straight line course and attracted to the fixed charge...

A block has mass M=2kg and is initially at rest, then slides a distance L =...

A block has mass M=2kg and is initially at rest, then slides a distance L = 1.25m down a theta = 30degrees frictionless incline plane until it is momentarily brought to rest by a spring. The spring is compressed a distance X= 3cm . a) Write down expressions for the initial and final energy of the system b) Find an expression for the spring constant K in terms of L, X, theta and M and calculate K c)The experiment is...

Derive the formula for electron charge to mass ratio e/m=2V/(Br)^2: first, explain why formulas (mv^2)/r=evB and...

Derive the formula for electron charge to mass ratio e/m=2V/(Br)^2: first, explain why formulas (mv^2)/r=evB and eV=1/2mv^2 must hold. Then, do what algebra is necessary to show that those formulas imply formula e/m=2V/(Br)^2

A charge q1 = 1.62 µC is at a distance d = 1.63 m from a...

A charge q1 = 1.62 µC is at a distance d = 1.63 m from a second charge q2 = −4.87 µC. https://www.webassign.net/webassignalgphys1/19-p-029-alt.gif (a) Find the electric potential at a point A between the two charges that is d/4 from q1. Note that the location A in the diagram above is not to scale. (b) Find a point between the two charges on the horizontal line where the electric potential is zero. (Enter your answer as measured from q1.)

Prove the following formulas, where u, v, z are complex numbers and z = x +iy....

Prove the following formulas, where u, v, z are complex numbers and z = x +iy. a. sin(u+v) = sin u cos v + cos u sin v. b. cos(u+v) + cos u cos v - sin u sin v. c. sin^2 z + cos^2 z = 1. d. cos(iy) = cosh y, sin (iy) = i sinh y. e. cos z = cos x cosh y - i sin x sinh y. f. sin z = sin x cosh...

Derive the formula (together with diagram/s where applicable) for the critical load of an eccentric loading...

Derive the formula (together with diagram/s where applicable) for the critical load of an eccentric loading conditions.

Using the definition of magnitude: m=-2.5log F + C derive the relation for the distance modulus:...

Using the definition of magnitude: m=-2.5log F + C derive the relation for the distance modulus: m-M=5logd-5

Question