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4.1 What are the significant physical differences between Poisson’s and Laplace’s equations.
4.2 The flux of an electric field is given by Gauss’s Law: ∇ ∙ 𝑬 = 𝜌 𝜀0 . Use this to determine Poisson’s equation. (Hint: what is the Laplacian of the potential field 𝜙?)
when a positively charged rod is brought near an isolated neutral conductor without touching it, will the rod experience an attractive force, a repulsive force, or no force at all
The area of the winding loop is a square with a side length of 1.2 m and 10 turns and a current of 1.1 A. How much torque is caused by the Earth's magnetic field when the axis of symmetry of the winding (plane normal) is directed a) to the west? b) to the north?
The magnetic flux density of the Earth's magnetic field is 50 μT, the inclination is 73º and the declination is 0º.
A magnetic field is produced inside a cubic chamber of volume A and the electromagnetic waves propagate at the speed of light C. If some other particle is present in this chamber, list the four conditions under which this particle of mass m will experience a force-free "life".
Suppose we make for our Physics Laboratory a 10 micro-Henry inductor by wrapping a 0.030 cm diameter wire around a 4.0 mm diameter cylindrical core. How long must this core be?
You have a 12V battery connected to a single straight nichrome wire in your heater. If the wire is a millimeter thick and a meter long, and you place a device that measures magnetic field strength at a one-centimeter distance away from the wire, what will be the reading on this device?
Consider a thin, straight wire carrying a constant current I and placed along the y-axis as shown in Figure. Determine the magnitude and direction of the magnetic field at point P on x axis due to this current if the direction of current is in y axis.
The strength of the homogeneous magnetic field was measured by the following experimental arrangement: The rectangular conductor loop was partially introduced into the magnetic field as shown. The wire loop was hung on a computer power sensor and calibrated to show zero. When the current in the conductor loop was 325 mA, the force sensor showed a reading of 32.9 mN. Based on this, what was the magnetic flux density of the magnetic field? The magnetic field at the current loop was approximately homogeneous.
Given f=50Hz, determine how long it will take the sinusoidal waveform to pass through an angle of 50o
A 10 F capacitor is connected through a 1 M resistor to a constant potential difference of 100
V. Compute (a) the charge at time 5s (b) the current in the same instant (c) the time require for the
charge to increase from zero to 5×10-04 C (d) the final charge in the circuit (e) the relaxation time
and half-life of the circuit. (f) the time require for the charge to increase from 5×10-04 C to 7×10-04
C.
