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- An electric current I = 0.55 A is moving in a circular wire with radius R = 0.045 a. Express the magnetic field vector B created at the center O in terms of the current I, the radius vector R, and the length element vector ds. Picture attached. b. What’s the direction of the magnetic field at point O? Downward. Into the screen. To the right. Out of the screen. Upward. To the left. c. Express the magnitude of the magnetic field at point O in terms of I and R. d. Calculate the numerical value of B, in tesla.field E = Suppose we have a kangaroo with charge q and velocity v = v(Î + 1). The kangaroo is immersed in an electric Ej and magnetic field B = Bĵ. What is the force experienced by the kangaroo (assume that the kangaroo is a point particle)? ○ A. B. O C. qEj ○ D. q[Eĵ +vB(îĵ +ĵ³)] q(Eĵ + vBk) q(Ej – vBk)I a 45° 45° Two perpendicular straight wires join in the ends of a semicircular loop of radius a = current I = 6 A, what is the resultant field at the center of the circular section? 8 cm, as shown in the figure above. If the T out of the page.
- 1. If two magnetic field vectors H1 and H2 are moving along the same axis in free space, write all the possible base vectors.Determine whether the vector field below is an electric field or an electric field magnet! Ū(F) = 3 sin x e3y î – cos x e3yj а. V(F) = 3x?y² î + 2x³yĵ W (†) = (x² + y²) î – 2xy ĵ b. с.Electric field vector E and magnetic field vector B have dot product of -6.00 and their cross product has a magnitude of +9.00. What is the angle between these two vector? Please show the complete solution and figure. Solution must be readable. Thank youZ
- 2. A conducting structure seen in figure carries uniform and direct current I is inside a magnetic field with B = Be,. Find the total force acting on this structure by using Lorentz force law. After obtaining general expression, use I = 2 A; B = 0.3 T; AB = TD = 20 cm; R= 10 cm to calculate the force. y O z, B R В C A. DA finite current-carrying wire lies on the y-axis as shown below. The current has a constant magnitude of I. The wire goes from y =d to y = c . Point P lies on the x-axis at æ = -b.In the figure below, two infinitely long wires carry currents i = 10 A. Each wire has a semicircular arc part. The semicircular arc below to the same circle of center Cand radius R =8 cm. What is the magnitude of the net magnetic field at point C?
- Curl. Stokes's theorem is a powerful equation that allows the conversion of a surface integral of the curl of a vector over an open surface S into a line integral, such as in the calculation of current through a closed magnetic field loop. Given that Stokes's theorem states: Verify Stokes's theorem for the vector field: B = r cos of+ sin o a. By evaluating f, B dl over the semicircular contour shown below b. By evaluating f,(v x B) ds over the semicircular contour shown below yTime left 0:35:08 Four long straight and parallel wires carry equal currents I =10 A directed into or out of the page at the corners of a square. The square has side a = 10 cm. The point P is located at the center of the square. 1 3 What is the magnetic field (in mT) at point P due to wire 1? What is the net magnetic field (in mT) at point P due to all wires?a 45° Two perpendicular straight wires join in the ends of a semicircular loop of radius a-8 cm, as shown in the figure above. If the current / = 4 A, what is the resultant field at the center of the circular section? Tout of the page.