Test: Analysis of Growth & Analysis of Decay - Electrical Engineering (EE) MCQ

The total voltage in an inductive circuit is the sum of the voltage due to the resistor which is Ri and the voltage due to the inductor which is Ldi/dt. Hence V=Ri+Ldi/dt.

Helmholtz equation is an equation which gives the formula for the growth in an inductive circuit. Hence the Helmholtz formula is: i=I(1-e^-Rt/L).

The correct formula for growth in an inductive circuit is VL=V(1-e^-t /time constant). As the time increases, the current in the inductor increases hence the voltage also increases.

We know that: V=V0(1-e-t /time constant).
When time constant=t, we have: V=V0(1-e^-1)= 0.63*V0.
Hence the time constant is the time taken for the charge in an inductive circuit to become 0.63 times its initial charge.

The time constant in an inductive circuit is the time taken for the voltage across the inductor to become 63 percent of its initial value. It is given by: Time constant= L/R.

The expression for time constant in an inductive circuit is:
Time constant= L/R
Substituting the values from the question given, we get time constant= 0.5s.

The final value of current in the circuit is:
I=V/R= 5A.

We know that:
i=I(1-e^Rt/L)
I=V/R=5A
Substituting the remaining values from the given question, we get i=4.32A.

The formula for magnetic field strength in a coil is:
H=iN/l
The inductance is: directly proportional to magnetic field strength, hence as the current value doubles, the inductance also doubles.

We know that: Time constant= L/R
Substituting the values from the given question, we get L=10H.

The time constant in an inductive circuit is the time taken for the voltage across the inductor to become 63 percent of its initial value. It is given by: Time constant= L/R.

The correct formula for decay in an inductive circuit is i=I(e-t /time constant). As the time increases, the current in the inductor decreases, the voltage also increases.

We know that: V=V0(e^-t/time constant).
When time constant=t, we have: V=V0(e^-1)= 0.36*V0.
Hence the time constant is the time taken for the charge in an inductive circuit to become 0.36 times its initial charge.

We know that: V=V0(e^-t/time constant).
When time constant=t, we have: V=V0(e^-1)= 0.36*V0.
Hence the time constant is the time taken for the charge in an inductive circuit to become 0.36 times its initial charge.

Inductance is inversely proportional to current since, as the inductance increases, current decreases.

We know that: Time constant= L/R
Substituting the values from the given question, we get time constant= 2s.

We know that: Time constant= L/R
Substituting the values from the given question, we get L=10H.

The final value of current in the circuit is:
I=V/R= 5A.

The formula for magnetic field strength in a coil is:
H=iN/l
The inductance is: directly proportional to magnetic field strength, hence as the current value doubles, the inductance also doubles.

The total voltage in an inductive circuit is the sum of the voltage due to the resistor which is Ri and the voltage due to the inductor which is Ldi/dt. Hence V=Ri+Ldi/dt.