Daily review: Formula and Equations For Inductor and Inductance | Wheatstone Bridge – Circuit, Working, Derivation and Applications | Why Do Most Fans Have Three Blades? Quiz

Q: What is the mathematical formula for the voltage across an inductor?

v(t) = L * di/dt — The voltage across an inductor is proportional to the rate of change of current, given by v(t) = L(di/dt).

Q: A Wheatstone bridge is considered balanced when the galvanometer reading is:

Zero — A bridge is balanced when no current flows through the galvanometer, meaning the potential difference across it is zero.

Q: In a balanced Wheatstone bridge with resistors R1, R2, R3, and R4 arranged in a diamond, which equation holds true?

R1 / R3 = R2 / R4 — For a balanced bridge, the ratio of arms must be equal, usually expressed as R1/R2 = R3/R4 or R1/R3 = R2/R4.

Q: What is the primary factor that makes three blades an optimal design for ceiling fans?

It provides the best balance between noise, efficiency, and air movement. — Three blades offer an ideal trade-off between air volume, noise levels, and the drag caused by the motor.

Q: The inductance (L) of an inductor is primarily determined by:

Physical properties like coil turns, core material, and geometry — Inductance is a physical property determined by the number of turns, coil area, length, and core permeability.

Q: What is the primary application of a Wheatstone bridge?

Measuring unknown resistance — The Wheatstone bridge is a standard circuit used for high-precision measurement of unknown resistance values.

Q: How does increasing the number of blades on a fan generally affect its operation?

More blades increase drag, requiring a more powerful motor — Adding more blades increases air resistance (drag), which forces the motor to work harder, often resulting in lower tip speeds.

Q: Energy stored in an inductor is given by which formula?

E = 0.5 * L * I^2 — The energy stored in the magnetic field of an inductor is defined as E = 1/2 LI².

Q: What happens if a Wheatstone bridge is unbalanced?

The current flows through the center branch/galvanometer — If the resistance ratios are unequal, a potential difference exists, causing current to flow through the center branch.

Q: Why do some industrial fans use more than three blades?

To operate at lower speeds while still moving significant air — More blades allow the fan to move air effectively at lower rotational speeds, which reduces noise and turbulence.

medium 10 Questions

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Question 1 of 10

What is the mathematical formula for the voltage across an inductor?

The voltage across an inductor is proportional to the rate of change of current, given by v(t) = L(di/dt).

Question 2 of 10

A Wheatstone bridge is considered balanced when the galvanometer reading is:

A bridge is balanced when no current flows through the galvanometer, meaning the potential difference across it is zero.

Question 3 of 10

In a balanced Wheatstone bridge with resistors R1, R2, R3, and R4 arranged in a diamond, which equation holds true?

For a balanced bridge, the ratio of arms must be equal, usually expressed as R1/R2 = R3/R4 or R1/R3 = R2/R4.

Question 4 of 10

What is the primary factor that makes three blades an optimal design for ceiling fans?

Three blades offer an ideal trade-off between air volume, noise levels, and the drag caused by the motor.

Question 5 of 10

The inductance (L) of an inductor is primarily determined by:

Inductance is a physical property determined by the number of turns, coil area, length, and core permeability.

Question 6 of 10

What is the primary application of a Wheatstone bridge?

The Wheatstone bridge is a standard circuit used for high-precision measurement of unknown resistance values.

Question 7 of 10

How does increasing the number of blades on a fan generally affect its operation?

Adding more blades increases air resistance (drag), which forces the motor to work harder, often resulting in lower tip speeds.

Question 8 of 10

Energy stored in an inductor is given by which formula?

The energy stored in the magnetic field of an inductor is defined as E = 1/2 LI².

Question 9 of 10

What happens if a Wheatstone bridge is unbalanced?

If the resistance ratios are unequal, a potential difference exists, causing current to flow through the center branch.

Question 10 of 10

Why do some industrial fans use more than three blades?

More blades allow the fan to move air effectively at lower rotational speeds, which reduces noise and turbulence.

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