Respuesta :
Answer:
a. False
b. True
c. True
d. False
Explanation:
(a)False
The induced emf in a circuit is proportional to the change in magnetic flux through the circuit.
[tex]\epsilon=-\frac{d\phi}{dt}[/tex]
(b)True
Yes, there can be induced emf at an instant when the flux through the circuit is zero because for the instant the the flux may be zero while it is continuously varying with time which generates the emf in the circuit.
(c)True
Lenz's Law is in accordance with the principle of conservation of energy because when a magnet with N-pole facing coil is pushed toward (or pulled away from) the coil, there is a increase (or decrease) in magnetic flux linkage, resulting in an induced current flowing in the coil, according to Faraday's Law.
(d)False
The inductance of a solenoid is inversely proportional to the rate of change of the current in it.
Mathematically, inductance of a solenoid:
[tex]L=\frac{\epsilon}{\frac{di}{dt} }[/tex]
(a) False, the induced emf in a circuit is proportional to the magnetic flux through the circuit.
(b) True, there can be an induced emf at an instant when the flux through the circuit is zero.
(c) True, Lenz's law is related to the conservation of energy.
(d) False, The inductance of a solenoid is proportional to the rate of change of the current in it.
(a)
According to Faradays law, the induced emf is the magnetic field is directly proportional to the rate of change of flux.
[tex]emf = \frac{d\phi}{dt}[/tex]
The first statement is false.
(b)
The induced emf when the flux through the circuit is zero is calculated as follows;
[tex]emf = \frac{\phi_i - \phi_f }{t} = \frac{\phi _i - 0}{t} = \frac{\phi _i }{t}[/tex]
Thus, emf can be induced at an instant when the flux through the circuit is zero. This statement is true.
(c)
Lenz's law relates to conservation of energy because the work done in opposing force results in change in magnetic flux and will cause current to be induced.
Thus, the third statement is true.
(d)
The inductance of a solenoid is inversely proportional to the rate of change of the current flowing in the solenoid.
Thus, the last statement is false.
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