Two Conducting Rails of Negligible Resistance Terminate in a Resistor $\varOmega$

question 52

Multiple Choice

Two conducting rails of negligible resistance terminate in a resistor of resistance R = 2.40 $\varOmega$ The rails are placed in a magnetic field B = 15.0 mT perpendicular to the plane of the rails.The magnetic field is uniform and time independent.The distance between the rails is w = 10.0 cm as shown in the figure.A conducting rod of negligible resistance slides frictionless on top of the two rails at a velocity v = 1.20 m/s + (3.4 m/s²) t,where t is the time,in seconds.The induced current in the circuit at t = 1.00 s is

• A)2.88 mA.
• B)1.81 mA.
• C)1.28 mA.
• D)0.978 mA.
• E)0.836 mA.

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Definitions:

Standard Deviation

A measure of the amount of variation or dispersion of a set of values, indicating how much the values differ from the mean.

T-Distribution

A probability distribution used in statistics that arises when estimating the mean of a normally distributed population in situations where the sample size is small and population variance is unknown.

Confidence Interval

A range of values, derived from the sample data, that is believed, with a certain degree of probability, to contain the true population parameter.

Margin Of Error

An estimate of the amount by which an observed sample result may differ from the true value, providing a confidence interval for the estimation.