Problem 2. A wire carries a 7.00-A current along the x axis, and another wire carries a 6.00-A current along the y axis, as shown in figure below. The point P is located at x = 4.00 m, y = 3.00 m. (a) What is the magnetic field at point P, due to the vertical wire? Write your answer in unit-vector notation. (b) Find the magnetic field at point P, due to the horizontal wire. Write your answer in unit-vector notation. (c) Calculate the net magnetic field at point P. Write your answer in unit-vector notation. 6.00 A (4.00, 3.00) m 7.00 A x

In the figure below, point P is at a perpendicular distance a = 13 cm from one end of a straight wire of length L = 15 cm carrying current I = 6 A. (Note that the wire is not long, or infinite.) What are the magnitude and direction of the magnetic field at P? For direction, you can say into or out of the page.

A conductor wire bent into a semicircle of radius of R = 3cm forms a closed circuit and carries current of I = 2 A. A uniform magnetic field of B = 5T(-j) is directed along the positive y- axis as shown in figure below. What is the magnitude and direction of the magnetic force acting on the straight, curved portion of the wire and the net magnetic force acting on the conductor wire, respectively? B O a. 1.8N(-Ê), 1.8N(-Ê), 3.6(-k) O b. 1.8NÊ, 1.8N(-k),0 O . 6NÊ, 6N(-k), 0 O d. 0.6Nk, 0.6Nk, 1.2Nk O e. 0.6NÊ, 0.6N(-k),0

A charged particle is entering a squared region of space with a uniform magnetic field. The sides of the region are 6 m wide. The particle enters the region exactly in the middle of one of the sides in a direction perpendicular to it, as in the Figure below. The charge of the particle is q = 20.0μC, its mass is m = 6.0 × 10-¹6 kg, and the velocity of the particle is |v| = 5 × 10³ m/s. How strong is the magnetic field so that the particle escapes such region in a direction perpendicular to the one it entered? See Figure for more details. XX XXXXXX :XXXXXXX XX XXX:

The figure below shows two very long straight wires (in cross section) that each carry a current of 4.81 A directly out of the page. Distance d1 = 8.00 m and distance d2 = 6.00 m. What is the magnitude of the net magnetic field at point P, which lies on a perpendicular bisector to the wires?

An electron with velocity v = vê enters a region where there is a uniform electric field E = E,î . If the electron is to continue undeflected from its initial trajectory, what magnetic field (magnitude and direction) is necessary? Write your answer in terms of Eo, vo and unit vector.

Four long, parallel conductors carry equal currents of I = 4.17 A. The figure shown below is an end view of the conductors. The direction of the current is into the page at points A and B (indicated by the crosses) and out of the page at C and D (indicated by the dots). Calculate the magnitude and direction of the magnetic field at point P, located at the center of the square with edge of length 0.200 m. 23.7 magnitude Your response differs from the correct answer by more than 10%. Double check your calculations. µT direction downward A (x 10.200 m B(x 0.200 m

Two long straight wires carry currents perpendicular to the xy plane. One carries a current of la = 17 A and passes through the point x = 5 cm on the x axis. The second wire has a current of Ig = 56 A and passes through the point y = 8 cm on the y axis. What is the magnitude of the resulting magnetic field at the origin? Write your answer in micro-tesla.

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

In the figure below, a long circular pipe with outside radius R=2.18 cm carries a (uniformly distributed) current i = 11.2 mA into the page. A wire runs parallel to the pipe at a distance of 3,00R from center to center. Find the (a) magnitude and (b) direction (into or out of the page) of the current in the wire such that the ratio of the magnitude of the net magnetic field at point P to the magnitude of the net magnetic field at the center of the pipe is 0.673, but it has the opposite direction. Wire O (a) Number (b) Units Pipe