a. Briefly explain Electrostatics. Express the fundamental postulates (law)
for electrostatics in free space. Express it in both differential and
integral forms?
b. Explain two ways a magnetic field can be produced?
c. There is no existence of a magnetic charge. Explain?
d. Write the expression for the law of conservation of magnetic Flux?

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6. Select a contrast mode in microscopy. In the space below, describe and illustrate it in detail (hint: phase, dark-field, bright-field) (1 page limit)

State how directions of the electric field, current, drift velocity, and current density related?

Define 10 different “The right hand rule” first define the application and explain how the right hand rule is is applied to find the direction of physical concept .

please answer clearly in details

A person drops a cylindrical steel bar (Y = 8.00 × 1010 Pa) from a height of 3.20 m (distance between the floor and the bottom of the vertically oriented bar). The bar, of length L = 0.820 m, radius R = 0.00500 m, and mass m = 1.300 kg, hits the floor and bounces up, maintaining its vertical orientation. Assuming the collision with the floor is elastic, and that no rotation occurs, what is the maximum compression of the bar?

Short pulses of microwave radiation are emitted from the Crab nebula at a distance
L from the earth. When they reach the earth, the frequency components of the pulses
are dispersed after a travel time T, such that waves of different frequencies arrive at
different times. The observed dispersion is due to the intervening interstellar plasma,
which enables us to estimate the electron density of this plasma. Assuming one knows L
by other means, obtain the expression for the electron density. Assume v p ≈ vg which is
a reasonable approximation for interstellar medium.

The potential difference across a charged capacitor is 22 V. The capacitor discharges through a fixed resistor. After a time equal to the time constant, the potential difference has reduced to V. The magnitude of V is:

An object of mass m is moving in +x direction at u velocity and collides elastically with a stationery object in the x direction having a mass M.

after the collision the object with mass m travels in +y direction and the object with mass M travels in a direction with an angle theeta to the

x axes. find the value of theeta?

A child swings on a 14 m rope. The highest point of her swing is 3 m above the ground. When the child is at the lowest point, 1 m above the ground, what is her speed?

An isolated conducting sphere of radius R has charge Q uniformly distributed on its surface. What is the electric field (E) inside the conducting sphere at distance r = R/2 from center?

Two charges, q₁ = 32 μC and q₂ = 38 μC, are located along a straight line at x = 22 cm and 38 cm respectively. Where along the x-axis should a third charge q₃ with a charge of 1 μC be located such that the net force on this charge is zero.

Two charges, q₁ = 10.5 μC and q₂ = -4.5 μC , are located at coordinates (x,y) = (21.6, 8.6) cm and (23.0, 10.6) cm respectively. Find the electrostatic force between these two changes (take an attractive force to be negative)

Two identical charges of 2.0 μC are located along the y-axis at +5.5 cm and -5.5 cm respectively. Calculate the net electric field strength at a point P located at 17.6 cm along the x-axis.

What force would be experienced by a 6.5 μC charge placed at the point P in the above problem?

The heat is both diffusing and advecting in a 1-d domain [0, 1]. The temperature satisfies the equation ut = Duxx − cux − λu, 0 < x < 1, t > 0, u(0, t) = 1, u(1, t) = 1, t > 0, u(x, 0) = u0(x), 0 ≤ x ≤ 1. (a) Determine whether there exists a steady state. Find the steady state if it exists. (b) When the steady state exists, graph the steady-state temperature distribution in the interval and analyze how heat is flowing in the interval and through its boundaries. You may pick specific values for the graph.