Question 4**A \(0.30\,\mathrm{m^2}\) loop is perpendicular to a \(0.40\,\mathrm{T}\) field. Find the flux.
Question 5**A \(0.50\,\mathrm{m^2}\) loop has area vector at \(60^\circ\) to a \(0.20\,\mathrm{T}\) field. Find the flux.
Question 7**+A loop has area \(0.25\,\mathrm{m^2}\) and flux \(0.10\,\mathrm{Wb}\) when perpendicular to the field. Find \(B\).
Question 8**+A \(0.10\,\mathrm{m^2}\) coil in a \(0.80\,\mathrm{T}\) field has flux \(0.040\,\mathrm{Wb}\). Find the angle between \(\vec B\) and the area vector.
Question 11***A flat loop is rotated from maximum positive flux to maximum negative flux in the same uniform field. What is the change in flux?
Question 12***A surface is parallel to the magnetic field lines. Is the flux through that surface maximum or zero?
Question 13***+A square loop has side \(0.20\,\mathrm{m}\) in a \(0.50\,\mathrm{T}\) field. Its area vector is \(37^\circ\) from the field. Find \(\Phi_B\).
Question 14***+A coil has \(N\) identical turns. What is the flux linkage for uniform flux \(\Phi_B\) through each turn?
Question 16****A closed surface encloses a bar magnet. What is the net magnetic flux through the surface?
Question 17****A magnetic field is nonuniform over a surface. Why is \(BA\cos\theta\) not generally enough?
Question 18****+Two surfaces have the same area in the same uniform field. One has twice the flux of the other. What can you infer about their orientations?
Question 19****+Explain why changing only the sign convention for the area vector changes the sign of flux but not the physical field.
Question 20*****Use magnetic flux to state the difference between a magnetic field with no monopoles and an electric field with enclosed charge.