As Shown in the Figure, a Wire and A $10 - \Omega$

question 317

Multiple Choice

As shown in the figure, a wire and a $10 - \Omega$ resistor are used to form a circuit in the shape of a square with dimensions $20 \mathrm {~cm}$ by $20 \mathrm {~cm}$ . A uniform but non-steady magnetic field is directed into the plane of the circuit. The magnitude of the magnetic field is steadily decreased from $2.70 \mathrm {~T}$ to $0.90 \mathrm {~T}$ in a time interval of $96 \mathrm {~ms}$ . What is the induced current in the circuit, and what is its direction through the resistor?

• A) \(75 \mathrm {~mA}\), from \(b\) to \(a\)
• B) \(45 \mathrm {~mA}\), from \(b\) to \(a\)
• C) \(45 \mathrm {~mA}\), from \(a\) to \(b\)
• D) \(110 \mathrm {~mA}\), from \(a\) to \(b\)
• E) \(75 \mathrm {~mA}\), from \(a\) to \(b\)

---

Definitions:

Variance

In statistics, the measure of dispersion within a data set, representing the average of the squared differences from the mean.

Recessionary Period

A phase in the business cycle where the economy declines and is marked by reduced industrial activity, widespread unemployment, and falling prices or stagnant growth.

Portfolio Beta

A measure of the volatility, or systematic risk, of a portfolio of investments compared to the overall market.

Market Portfolio

A theoretical bundle of all investable assets in the market, with each asset weighted according to its market capitalization.