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20.1 Induced EMF and Magnetic Flux l. A uniform magnetic field of magnitude 0.50

ID: 778222 • Letter: 2

Question

20.1 Induced EMF and Magnetic Flux l. A uniform magnetic field of magnitude 0.50 T is directed lar to the magnetic fiel, (bi Go or from the 2.00 T. Calculate the magnetic flux through the loop oriented magnetic field, and (c) parallel to the magnetic field perpendicular to the plane of a rectangular loop having dimensions 8.0 cm by 12 cm. Find the magnetic flux through the loop. 2. Find the flux of Earth's magnetic field of magnitude 5.00 x T through a square loop of area 20.0 cm2 (a) when the field is perpendicular to the plane of the loop, (b) when the field makes a 30.0° angle with the normal to the plane of the loop, and (c) when the field makes a 90.0 angle with the nor 60.0° mal to the plane. -D 3. Figure P20.3 shows three edge views of a square loop with sides of length0.250 m in a magnetic field of magnitude Figure P20.3

Explanation / Answer

Magnetic flux is given by dot product of area vector and magnetic field vector. Magnetic field = B=2 T

Area = 0.25*0.25=0.0625 m2

a) Area vector and magnetic field are parallel

Magnetic flux= 2*0.0625=0.125 Weber

b)angle between area vector and magnetic field vector=30o

magnetic flux = 2*0.0625*cos30=0.108 Weber

c)angle between magetic fleid and area vector is 90o

Magnetic flux=2*0.0625*cos90=0 Weber