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The simple rotating loop between pole faces connected to a battery and resistor through a switch, the specifications of this machine are radius = 0.5m, length 1m, resistance = 0.3 ohms and magnitude strength = 0.25T is supplied with 120V. Suddenly the switch is closed at t=0, what is observed in the circuit?
- a)Current will flow but zero induced EMF
- b)Current will not flow and zero induced EMF
- c)Current will not flow but EMF is induced
- d)Current will flow and EMF will also be induced
Correct answer is option 'A'. Can you explain this answer?
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The simple rotating loop between pole faces connected to a battery and...
Initially the induced emf in the armature is zero. But the current will flow as there is terminal source voltage.
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The simple rotating loop between pole faces connected to a battery and...
Introduction:
The given circuit consists of a rotating loop between pole faces that is connected to a battery and resistor through a switch. The specifications of the machine are as follows: radius = 0.5m, length = 1m, resistance = 0.3 ohms, and magnetic field strength = 0.25T. The machine is supplied with 120V. The switch is closed at t=0 and we need to determine what is observed in the circuit.
Explanation:
When the switch is closed, the circuit is completed and a current starts to flow through the loop. Let's analyze the different aspects of the circuit to understand the observed behavior.
Magnetic Field and Loop:
The magnetic field strength is given as 0.25T. When the loop rotates, it cuts through the magnetic field lines and induces an electromotive force (EMF) in the loop. This phenomenon is known as electromagnetic induction.
EMF Induced:
As the loop rotates, the flux through the loop changes, resulting in an induced EMF. According to Faraday's Law of electromagnetic induction, the magnitude of the induced EMF is given by the equation:
EMF = -N * dΦ/dt
Where EMF is the induced electromotive force, N is the number of turns in the loop, and dΦ/dt is the rate of change of magnetic flux through the loop. In this case, since the loop has only one turn, the equation simplifies to:
EMF = -dΦ/dt
As the switch is closed at t=0, the rate of change of magnetic flux is initially zero. Therefore, the induced EMF at t=0 is also zero.
Current Flow:
The battery connected to the circuit provides a potential difference of 120V. As per Ohm's Law, the current flowing through the circuit is given by the equation:
I = V/R
Where I is the current, V is the potential difference, and R is the resistance. Substituting the given values, we get:
I = 120V / 0.3Ω
I = 400A
Therefore, a current of 400A flows through the circuit.
Conclusion:
Based on the analysis, we can conclude that when the switch is closed at t=0, a current will flow through the circuit but there will be zero induced EMF at that instant. Hence, the correct answer is option 'A': Current will flow but zero induced EMF.
The given circuit consists of a rotating loop between pole faces that is connected to a battery and resistor through a switch. The specifications of the machine are as follows: radius = 0.5m, length = 1m, resistance = 0.3 ohms, and magnetic field strength = 0.25T. The machine is supplied with 120V. The switch is closed at t=0 and we need to determine what is observed in the circuit.
Explanation:
When the switch is closed, the circuit is completed and a current starts to flow through the loop. Let's analyze the different aspects of the circuit to understand the observed behavior.
Magnetic Field and Loop:
The magnetic field strength is given as 0.25T. When the loop rotates, it cuts through the magnetic field lines and induces an electromotive force (EMF) in the loop. This phenomenon is known as electromagnetic induction.
EMF Induced:
As the loop rotates, the flux through the loop changes, resulting in an induced EMF. According to Faraday's Law of electromagnetic induction, the magnitude of the induced EMF is given by the equation:
EMF = -N * dΦ/dt
Where EMF is the induced electromotive force, N is the number of turns in the loop, and dΦ/dt is the rate of change of magnetic flux through the loop. In this case, since the loop has only one turn, the equation simplifies to:
EMF = -dΦ/dt
As the switch is closed at t=0, the rate of change of magnetic flux is initially zero. Therefore, the induced EMF at t=0 is also zero.
Current Flow:
The battery connected to the circuit provides a potential difference of 120V. As per Ohm's Law, the current flowing through the circuit is given by the equation:
I = V/R
Where I is the current, V is the potential difference, and R is the resistance. Substituting the given values, we get:
I = 120V / 0.3Ω
I = 400A
Therefore, a current of 400A flows through the circuit.
Conclusion:
Based on the analysis, we can conclude that when the switch is closed at t=0, a current will flow through the circuit but there will be zero induced EMF at that instant. Hence, the correct answer is option 'A': Current will flow but zero induced EMF.
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The simple rotating loop between pole faces connected to a battery and resistor through a switch, the specifications of this machine are radius = 0.5m, length 1m, resistance = 0.3 ohms and magnitude strength = 0.25T is supplied with 120V. Suddenly the switch is closed at t=0, what is observed in the circuit?a)Current will flow but zero induced EMFb)Current will not flow and zero induced EMFc)Current will not flow but EMF is inducedd)Current will flow and EMF will also be inducedCorrect answer is option 'A'. Can you explain this answer?
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