3. (a) Three infinitely long wires parallel to the z-axis are shown in Fig. 3.1. The currents are: I₁ =10 A (flowing out of the page), I2 = 5 A (flowing out of the page) and 13 = 8 A (flowing into the page). y (m) I. + -1.0 -0.5 1.0 * 0.5+ 0 P 13 + 0 0.5 50 1.0 10 -0.5 + 12 -1.0 x (m) Figure 3.1. (i) Calculate the vectorial magnetic field strength H2 at point P due to current 12 (ignore currents I₁ and 13). (ii) Calculate the vectorial magnetic field strength H1,2,3 at point P due to all three currents I₁, 12 and 13. (iii) Imagine a fourth infinitely long wire (parallel to the z-axis) carrying current 14 = 6 A (flowing out of the page) which has been introduced to cancel the magnetic field at point P you have calculated in part (ii). Calculate the x and y coordinates of this fourth wire.

QUESTION 12 Consider the complex numbers Z3 and Z4 as defined below. Z3 2290 Z= 42 – 90° Compute Z4/Z3 and specify its angle in the box below in units of degrees. DO NOT ENTER UNITS IN THE BOX BELOW.

H:10) Connect a battery to a solenoidA cylindrical solenoid 40 cm long with a radius of 2 mm has 300 tightly-wound turns of wire uniformly distributed along its length (see the figure). Around the middle of the solenoid is a two-turn rectangular loop 3 cm by 2 cm made of resistive wire having a resistance of 195 ohms. One microsecond after connecting the loose wire to the battery to form a series circuit with the battery and a 20 resistor, what is the magnitude of the current in the rectangular loop and its direction (clockwise or counter-clockwise in the diagram)? (The battery has an emf of 9 V.)        ................A clockwise counter clockwise

electromagnetic field)I want a detailed solution because my teacher changes the numbers. I want a detailed solution. Understand the solution

Please show your solution clearly thank you

Consider the combinations of inductances shown in the figure below (Figure 1). Suppose that L1=1 II, L2 = 8 H, L3=4 II, LA = 25 H, L57 H, L6 = 17 H, L7 = 20 H, and L8 = 11 H. Figure 0 Lo L₁ voo 0000 voo L₂ (a) (b) L₁ 00000 L₂ < 1 of 1 Part A Determine the equivalent inductance for the combination of inductances shown in the figure (a). Express your answer to three significant figures and include the appropriate units. Ley = Value Submit Part B Leub= Submit HÅ Provide Feedback Request Answer O Determine the equivalent Inductance for pthe combination of Inductances shown in the figure (b). Express your answer to three significant figures and include the appropriate units. + |μA Value 1 → Request Answer Units www. ? Units ?

Solve for the current through the load with FBD. Figure B

A ten-turn solenoid has a ferromagnetic core with a relative permeability of 10,000. The length of the solenoid is l=10 cm and its cross section area is A=1 cm2.  Determine the inductance L in mH.  Round off to your answer to one decimal.

ii. Use Kirchhoff's Current Law to mathematically write an expression for the figure below 1₂ 13

Explain this