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4 stepsIdentify the given values and the condition for suspension.
The wire is suspended, meaning the upward magnetic force () must balance the downward gravitational force ().
Given:
Length of wire,
Mass of wire, (converted to kilograms)
Magnetic field strength,
Angle between wire and magnetic field, (since it's at a right angle)
Acceleration due to gravity,Write the formulas for magnetic force and gravitational force.
The magnetic force on a current-carrying wire is given by:
The gravitational force (weight) of the wire is given by:
Equate the forces and solve for the current ().
For the wire to be suspended, :
Rearrange the formula to solve for :
Substitute the values and calculate the current.
Since , .
Rounding to two significant figures, based on the given values (0.50 T, 50 g):
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