Answer:
The power is found to be P = 14250600 W
Explanation:
First we find the voltage or potential difference at the position:
Voltage = Amplitude of Field x Distance
Voltage = V = (0.9 V/m)(42000 m)
V = 37800 volts
Now, we know the formula of electric power is:
Power = Voltage x Current
P = V I
but, from Ohm's Law:
V = I R
I = V/R
Therefore,
P = V²/R
Resistance = real part of impedence = 377 Ω
Therefore,
P = (37800 V)(377 Ω)
<u>P = 14250600 W</u>
We use friction to create warmth when we run our hands together.
it helps us from slipping on the floor. that's the only reason we can walk without falling. there is way less friction on wet floor, due to which we fall
Answer:
a) τ = 1.039*10⁻⁴N-m
b) The net torque acting on the loop is zero, but the loop continues to rotate in a counterclockwise direction.
Explanation:
A) Given
I = 0.5 A
B = 0.3 T
a = 4 cm = 0.04 m
b = 2 cm = 0.02 m
θ = 30°
The torque τ acting on a current-carrying loop of area A due to the interaction of the current I flowing through the loop with a magnetic field of magnitude B is given by
τ = I*B*A*Sin∅
where ∅ is the angle between the normal to the loop and the direction of the magnetic field.
The area A of a rectangular loop of wire with height 4.00 cm and horizontal sides 2.00 cm can be obtained as follows
Aloop = a*b ⇒ Aloop = 0.04 m*0.02 m = 8*10⁻⁴m²
Recalling that θ is the angle between the sides of length b and B and if we consider the normal to the loop, the angle ∅ between the normal and the magnetic field is given by
∅ = 90°-θ ⇒ ∅ = 90°-30° = 60°
Then, the torque will be
τ = (0.5 A)*(0.3 T)*(8*10⁻⁴m²)*Sin60° = 1.039*10⁻⁴N-m
b) We have to get the net torque τ about the vertical axis of the current loop due to the interaction of the current with the magnetic field.
The angle ∅ between the normal to the loop and the magnetic field when the horizontal sides of the loop of length b are perpendicular to B is
∅ = 0°
Then
τ = (0.5 A)*(0.3 T)*(8*10⁻⁴m²)*Sin 0° = 0 N-m
We can say that the net torque acting on the loop is zero, but the loop continues to rotate in a counterclockwise direction.
I reported this question by accident, I am sorry.
Anyways, there is no electric field at the center of a charged spherical conductor because all the charged particles are at the edges and because of the complete cancellation everywhere.
a) 57.5 m/s
b) Yes
Explanation:
a)
According to Faraday-Newmann-Lenz's law, the electromotive force induced in the coil due to the change in magnetic flux through it is given by:

where
N is the number of turns in the coil
is the change in magnetic flux
is the time interval
The change in magnetic flux can be written as

where
A is the area of the coil
is the variation of the strength of the magnetic field
Re-writing the equation,

To make the bulb glowing, the induced emf must be:

And we also have:
N = 100


So we can find the maximum time required to induce this emf:

Since the length to cover in this time is
L = 4.0 cm = 0.04 m
The speed should be

b)
Yes: if the coil is moved at a speed of 57.7 m/s, then the potential difference induced in the bulb will be 1.5 V, which is enough to make the bulb glowing.