3. Assume a three-dimensional space is influenced by a uniform magnetic flux density field B :...
a) Two flat surfaces are exposed to a uniform, horizontal magnetic field of magnitude 0.22 T. When viewed edge-on, the first surface is tilted at an angle of 21° from the horizontal, and a net magnetic flux of 6.6 x 10-4 Wb passes through it. The same net magnetic flux passes through the second surface. (a) Determine the area of the first surface. (b) Find the smallest possible value of the area of the second surface. b) Near San Francisco,...
A uniform magnetic field with B = 10 i [T] passes through a hemispherical shell oriented with the radius vector representing the axis of symmetry given by r= 4 i+ 5 j [m]. Calculate the magnetic flux passing through the hemispherical shell
The 3-Dimensional Matching (3DM) decision problem takes as input three sets \(A, B\), and \(C\), each having size \(n\), along with a set \(S\) of triples of the form \((a, b, c)\) where \(a \in A, b \in B\), and \(c \in C\). We assume that \(|S|=m \geq n\). The problem is to decide if there exists a \(3 \mathrm{DM}\) matching, i.e. a subset of \(n\) triples from \(S\) for which each member of \(A \cup B \cup C\) belongs...
nt to p in the loop? (b) If the magnetic field r of 2.1 T, what is the magnitude of the ra verage emf has the 24. A uniform magnetic field is perpendi circular coil. The magnitude of the fiel in of basi rs, and o ummaie Section 22.4 Faraday's Law of Electromagnetic Induction 18. A magnetic field passes through a stationary wire loop, and its magnitude changes in time according to the graph in the drawing. The direction of...
2. A steady, uniform magnetic field B with unknown magnitude and direction exists through- the shaded rectangular region shown here (diagrams are not to scale). This region is planar-entirely in the x-y plane (+x is east and +y is north). The region's width (from its west edge to its east edge) is a known distance D. The region's length (from its north edge to its south edge) is 10D. Consider the following experiments, all performed with this field. coonfinate atan...
2. A steady, uniform magnetic field B with unknown magnitude and direction exists through out the shaded rectangular region shown here (diagrams are not to scale). This region is planar-entirely in the x-y plane (+x is east and +y is north). The region's width (from its west edge to its east edge) is a known distance D. The region's length (from its north edge to its south edge) is 10D. Consider the following experiments, all performed with this field. Experiment...
2. A steady, uniform magnetic field B with unknown magnitude and direction exists throughR out the shaded rectangular region shown here (diagrams are not to scale). This region is planar-entirely in the r-y plane (+x is east and +y is north). The region's width (from its west edge to its east edge) is a known distance D. The region's length (from its north edge to its south edge) is 10D. Consider the following experiments, all performed with this field. Experiment...
3. The Hamiltonian of a particle of mass m and charge q in a static magnetic field may be written 2 where πί Pi-qAi(x). We shall assume that the magnetic field B is uniform, so that AiEijkBjxk is a suitable choice. (a) Find Hamilton's equation of motion for the particle. (Hint: To simplify the algebra, use the chain rule to write9and similarly for p) 8H UT, 0z,, and similarly for Sp use the chain rule to write oz (b) Show...