Electricity and Magnetism Answers

ing Maxwell’s equations in free space, derive the wave equation for the
electric field vector. Obtain the conditions under which the following time varying
electric and magnetic fields satisfy Maxwell’s equations in vacuum with no source
charges or currents:
sin ( )
ˆ
0 E = k E y − vt
)

two point charge of equal magnitude and opposite charge are placed at equidistant at both side of x-axis from origin then find its graph characteristics of x component of electric field vs x axis

In the following question, does the mass fall at the rate of gravity?

How much electricity (in kilowatt hours?) Would be produced by a generator / turbine if a 1 tonne weight was suspended from a cable and gravity was pulling it down for 100 meters? Or what would the formula be to solve this?
All potential energy will transform into electricity.
E=mgh=1000*9.8*100=980000 J.
Now we need to express one kilowatt hour in joules: 1 kW*h=1000*3600 W*s=3600000 J.
Now we can express the amount of energy in kWh: E=980000/3600000=0.27 kWh.
Answer: 0.27 kWh.

How much electricity (in kilowatt hours?) Would be produced by a generator / turbine if a 1 tonne weight was suspended from a cable and gravity was pulling it down for 100 meters? Or what would the formula be to solve this?

The figure ?=== https://pasteboard.co/HgJeNpi.gif

The figure below shows two current segments. The lower segment carries current i1 = 0.55 A and includes a circular arc with radius 5.0 cm, angle 180°, and center point P. The upper segment carries current i2 = 2i1 and includes a circular arc with radius 4.9 cm, angle 120°, and the same center point P. What are the (a) magnitude and (b) direction (into or otherwise of the page) of the net magnetic field Upper B Overscript right-arrow EndScripts for the indicated current directions? What are the (c) magnitude and (d) direction (into or otherwise of the page) of Upper B Overscript right-arrow EndScripts if i1 is reversed?

https://pasteboard.co/HgJetB2.gif
Two concentric, circular wire loops of radii r1 = 27.7 cm and r2 = 61.9 cm, are located in an xy plane; each carries a clockwise current of 7.42 A (see the figure below). (a) Find the magnitude of the net magnetic dipole moment of the system. (b) Repeat for reversed current in the inner loop.

https://cdn.pbrd.co/images/HgJe00K.gif

The figure shows a rectangular, 17-turn coil of wire, of dimensions 9.9 cm by 3.9 cm. It carries a current of 0.13 A and is hinged along one long side. It is mounted in the xy plane, at an angle of 30° to the direction of a uniform magnetic field of magnitude 0.69 T. Find the (a) x, (b) y, and (c) z components of the torque acting on the coil about the hinge line.

It is required to hold four equal point charges in equilibrium at the corner of a square. Find the point charge at the centre of the square.

With the decrease of current in the primary coil from 2 ampere to zero value in 0.1 sec , the e.m.f generated in secondary coil is 1000 volts . The mutual inductance of the two coils is (1) 1.25 Henry (2) 2.50 Henry (3) 5.00 Henry (4) 10 Henry

In an induction coil , the coefficient of mutual inductance is 4 Henry . if a current of 5 ampere in the primary coil is cut off in 1/1500 sec , the emf at the terminals of the secondary coil will be (1) 15kV. (2) 60 kV (3) 10 kV. (4) 30 kV