The circular loop of wire shown is placed in a spatiallyuniform magnetic field s

Question

The circular loop of wire shown is placed in a spatiallyuniform magnetic field such that the plane of the circular loop isperpendicular to the direction for the magnetic field as shown inthe figure. The magnetic field B(t) varies with time, with the timedependence given by B(t)=a+bt, where a=0.2T and b=0.038 T/s. The acceleration dueto gravity is 9.8 m/s2. What is theformula for magnetic flux through the loop as afunction of time.
B(t)=?, with the formulaMAYBE using all of the following variables:a, b, t, r, and . There MAY be variablesthat are not needed. The circular loop of wire shown is placed in a spatiallyuniform magnetic field such that the plane of the circular loop isperpendicular to the direction for the magnetic field as shown inthe figure. The magnetic field B(t) varies with time, with the timedependence given by B(t)=a+bt, where a=0.2T and b=0.038 T/s. The acceleration dueto gravity is 9.8 m/s2. What is theformula for magnetic flux through the loop as afunction of time.
B(t)=?, with the formulaMAYBE using all of the following variables:a, b, t, r, and . There MAY be variablesthat are not needed.

Explanation / Answer

The magnetic field B(t) varies with time, with the time dependencegiven by B(t)=a+bt, where a=0.2 Tand b=0.038 T/s. Area (A) of the circular loop is A = r2 Now formula for the magnetic flux B(t) of the coilis                      B(t) = BA                               = B(r2)                               = (a + bt)(r2) Where a = 0.2 T, b = 0.038 T/s

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