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aniked [119]
3 years ago
13

A 8.10cm diameter wire coil is initially oriented so that its plane is perpendicular to a magnetic field of 0.710T pointing up.

During the course of 0.120s, the field is changed to one of 0.240T pointing down. What is the average induced emf in the coil?
Physics
1 answer:
lesya692 [45]3 years ago
6 0

Answer:

The average induced emf in the coil is 20.19 mV

Explanation:

Given;

diameter of wire, d = 8.10cm = 0.081 m

initial magnetic field strength, B₁ = 0.71 T

final magnetic field strength , B₂= 0.24 T

time = 0.12 s

According to Faraday's law, average induced emf in the coil is directly proportional to the rate of change of flux.

E.M.F= \frac{\delta \phi}{dt} = \frac{BA}{t}

where;

A is the area of the wire = ¹/₄ (πd²)

                                        = ¹/₄ (π x 0.081²) = 0.005154 m²

E.M.F = \frac{(0.71-0.24)*0.0053}{0.12} =0.02019 \ V = \ 20.19 \ mV

Therefore, the average induced emf in the coil is 20.19 mV

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The circuit in Fig. P4.23 utilizes three identical diodes having IS = 10−14 A. Find the value of the current I required to obtai
Sliva [168]

Answer:

v = \frac{2 V}{3}= 0.667 v

Since we have identical diodes we can use the equation:

I_D =I= I_S e^{\frac{V_D}{V_T}}

And replacing we have:I = 10^{-14} A e^{\frac{0.667}{0.025}}= 3.86x10^{-3} A = 3.86 mA

Since we know that 1 mA is drawn away from the output then the real value for I would be

I_D = I = 3.86 mA -1 mA= 2.86 mA

And for this case the value for v_D would be:

V_D = V_T ln (\frac{I_D}{I_T})= 0.025 ln (\frac{0.0029}{10^{-14}})= 0.660 V

And the output votage on this case would be:

V = 3 V_D = 3 *0.660 V = 1.98 V

And the net change in the output voltage would be:

\Delta V = |2 v-1.98 V| = |0.02 V |= 20 m V

Explanation:

For this case we have the figure attached illustrating the problem

We know that the equation for the current in a diode id given by:

I_D = I_s [e^{\frac{V_D}{V_T}} -1] \approx I_S e^{\frac{V_D}{V_T}}

For this case the voltage across the 3 diode in series needs to be 2 V, and we can find the voltage on each diode v_1 + v_2 + v_3= 2 and each voltage is the same v for each diode, so then:

v = \frac{2 V}{3}= 0.667 v

Since we have identical diodes we can use the equation:

I_D =I= I_S e^{\frac{V_D}{V_T}}

And replacing we have:

I = 10^{-14} A e^{\frac{0.667}{0.025}}= 3.86x10^{-3} A = 3.86 mA

Since we know that 1 mA is drawn away from the output then the real value for I would be

I_D = I = 3.86 mA -1 mA= 2.86 mA

And for this case the value for v_D would be:

V_D = V_T ln (\frac{I_D}{I_T})= 0.025 ln (\frac{0.0029}{10^{-14}})= 0.660 V

And the output votage on this case would be:

V = 3 V_D = 3 *0.660 V = 1.98 V

And the net change in the output voltage would be:

\Delta V = |2 v-1.98 V| = |0.02 V |= 20 m V

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Next, we shall determine the gravitational acceleration of the Moon. This can be obtained as follow:

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