A force of 2N is exerted on a conductor of length 6cm carrying a current of 2A, when placed in a magnetic field. Find the strength of the field.
Question
Solution
The strength of the magnetic field can be calculated using the formula for the magnetic force on a current-carrying wire, which is given by:
F = BIL
where: F is the force in newtons (N), B is the magnetic field strength in teslas (T), I is the current in amperes (A), and L is the length of the wire in meters (m).
In this case, we are given: F = 2N, I = 2A, and L = 6cm = 0.06m (since 1m = 100cm).
We are asked to find B. Rearranging the formula for B gives:
B = F / (IL)
Substituting the given values into this formula gives:
B = 2N / (2A * 0.06m) = 16.67 T
So, the strength of the magnetic field is 16.67 teslas.
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