Consider a current of magnitude I flowing along a wire following a closed path C. The magnetic force on an element dr of the wire is Idr x B where B is the magnetic field at r. Let B(r) = xe+yey. Evaluate Bx dr for a circular current loop of radius a in the x-y plane, centred on the origin. C
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- E A charge of 1.1 C having an initial velocity of 3.91+4.1k m/s enters a region with an electric field E=3.4k N/C and a magnetic field B=4.27+3.9k T. Calculate the magnitude of the force on the charge immediately after it enters the region. Express your answer in Newtons (write just the value, not the unit), rounding to one digit after the decimal separator. Yanitinizi ekleyin.A current of 5.72 A flows along a wire with = (1.382 - 2.095 ) m. The wire resides in a uniform magnetic field B = (-0.350 +0.700 ) T. What is the magnetic force acting on the wire? (Express your answer in vector form.) NAY R R/2|; d A single current-carrying circular loop of radius R = 8.8 cm is placed next to a long straight wire as shown in Figure. A current i1 = 7.2 A is passing through the wire towards right. At a certain moment an electron is moving at a velocity v = 700.0 jm/s toward the centre of the circular wire. At the instant shown in figure, the electron's distance from the wire is d — 2.1ст. The z axis points out of the page in the coordinate system shown in the figure which is represented by the circle with a dot inside. a) Compute the magnitude of the magnetic field at the centre c due to the current passing through the straight wire.
- A rectangular conducting frame has a steady current of the magnitude i. It is placed in a non-uniform magnetic field zone, as shown in the figure. The edge lengths of the rectangle are a and b. The magnetic field is given as, b B = (B, + 4.0y²) & (Here k is the unit vector along +z – axis, B, is a constant and y is the posi along y – axis) °B a Find the magnitude of the magnetic force on the frame, in terms of the given parameters. (Assume the frame is exactly on the xy-plane) ... ... .. ... ... .00... ...There are three parallel wires perpendicular to the paper, each carry ing current I that are located at the vertices of a right triangle. The current is coming out of the paper for wires 1 and 2 and into the paper for wire 3. Point A is at the midpoint of the hypotenuse. d 45⁰ 2 A 45° d (X) 3 Calculate the net magnetic field vector (both magnitude and direction) at A.An electron passes through a point 3.89 cm from a long straight wire as it moves at 33.9% of the speed of light perpendicularly toward the wire. At that moment a switch is flipped, causing a current of 14.7 A to flow in the wire. Find the magnitude of the electron's acceleration a at that moment.
- An infinitely long wire carries a current of I = 160 A. Consider a circle with a radius r and centered on the wire. Determine the magnitude of the magnetic field B at points along the circle in terms of I and r.A coaxial cable has an inside conductor of a radius a carrying a current I. The current returns as a uniform current through the outside conductor with an inside radius b and outside radius c. (A uniform current means that the current density is constant.) What is the magnetic field a distance r from the center at r< a, a<r<b, b<r<c, and c<r.