Problem 2: An electric current I = 0.55 A is traveling in a circular wire with radius R = 0.055 m. ds Part (a) Express the magnetic field vector B generated at the center O in terms of the current I, the radius vector R, and the length element vector ds. SchematicChoice : Rx ds HoI B = - ds x R В ds x R 4T = - R3 R3 HoI R3 Hol B= - R3 R x ds ds x R В - B ds x R R3 R3 Part (b) Whatť's the direction of the magnetic field at point 0? MultipleChoice : 1) Upward. 2) Out of the screen. 3) To the left. 4) To the right. 5) Downward. 6) Into the screen. Part (c) Express the magnitude of the magnetic field at point O in terms of I and R. Expression : |B| = Select from the variables below to write your expression. Note that all variables may not be required. a, B, µo, T, 0, a, b, c, d, e, g, h, I, j, k, m, P, R, S, t Part (d) Calculate the numerical value of B, in tesla. Numeric : A numeric value is expected and not an expression. |B|

An infinitely long, straight, cylindrical wire of radius R has a uniform current density J = Jî in cylindrical coordinates. What is the magnitude of the magnetic field at some point inside the wire at a distance r; < R from the wire's central Cross-sectional view axis? Express your answer in terms of R, r;, µo, and J. J B = Side view Assuming J is positive, what is the direction of the magnetic field at some point inside the wire? O positive z-direction negative z-direction positive r-direction negative r-direction positive p-direction negative p-direction

Question 1: The magnetic flux of a uniform magnetic field of magnitude B througn a flat area A whose area vector is at angle with the magnetic field is given by ... (select the best choice) OBXA OBA sin OBA OAX B OBA cos Part (a) › analyzes the directions of the forces between two parallel wires carrying currents in the same direction. Perform a similar analysis for the forces between two parallel wires carrying currents in opposite directions. Those forces are... (select the best choice) Orepulsive to the left Part (b) Oto the right Oup Odown O attractive two ways of determining the direction of the magnetic field produced at some point by a moving charge or a current. Which hand or hands are avolved in both ways? (select the best choice) OBoth hands, but mainly the right ORight hand OBoth hands equally OLeft hand ONone of the other choices

A steady-current flows down a long cylindrical wire of radius R. Find the magnetic field, both inside and outside the wire, if the current is distributed in such a way that J is proportional to r², where r is the distance from the axis.

Part (a) Express the magnitude of the magnetic force on ab or cd, F1, in terms of the length L1, current I and magnetic field B. Part (b) Calculate the numerical value of the magnitude of the force, F1, on ab or cd in N. Part (c) Express the magnitude of the magnetic force on bc or ad, F2, in terms of the length L2, current I and magnetic field B. Part (d) Which direction does the force on ab act? Part (e) Which direction does the force on cd act? Part (f) Express the torque of F1 on ab, with respect of the axis ef, in terms of F1 and L2. Part (g) Express the torque of F1 on cd, with respect of the axis ef, in terms of F1 and L2. Part (h) What is the total torque on the current loop with respect of axis ef, in terms of F1 and L2?Expression   :τ = __________________________________________Select from the variables below to write your expression. Note that all variables may not be required.α, β, π, θ, B, d, F1, g, h, I, L1, L2, m, P, tPart (i) Calculate the numerical value of the total…

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.

In the figure below, the current in the long, straight wire is I1 = 5.00 A, and the wire lies in the plane of the rectangular loop, which carries 10.2 A. The dimensions shown are c = 0.100 m, a = 0.150 m, and script l = 0.450 m. Find the magnitude and direction of the net force exerted by the magnetic field due to the straight loop.

A vector representing a magnetic field has an x-component of 0.400 T (tesla) and a y-component of 0.162 T.What is the direction (in degrees) of the magnetic field with respect to the positive x-axis?

Two long, straight wires carry currents, I₁ = 1.75 A, and 1₂ = 3.15 A, perpendicular to the page as indicated. Both currents contribute to the magnetic field at the point, P, which is located a distance, d₁ = 6.21 cm, to the right of Wire 1, and a distance, d₂ = 7.52 cm, above Wire 2, as shown. What is the net magnetic field at P, in unit vector form? ]HT) ↑ + ( [ ]HT) ₁ I₁ d₁ P |d₂ (X) I₂

a) A wire of length L carrying a current of magnitude I is shown on the figure. Find the magnetic field vector at point P. Hint: You may find the following integrals useful: 1 1 -dx a Jx² +a? (x* +a*)* 1 -dx =- (x² +a*)* direction of current 2 X a P L 2