Problem 7 The magnetic core shown in figure P-7 is made of two types of magnetic materials. The center leg has a relative permeability of 2000 while the rest of the core has a permeability of 8000. Determine the flux in the core for a current of 10 A and 500 turns. The depth of the core is 5 cm. μ₁ = 8000 I T 10cm † N =2000 20cm -20cm 20cm 10cm 10cm 10cm Figure P-7 10cm
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- The Ohms law for the magnetic circuit states that the net magnetomotive force (mmf) equals the product of the core reluctance and the core flux. (a) True (b) FalseA ferromagnetic core is shown in Figure PI-2. The depth of the core is 5 cm. The other dimensions of the core are as shown in the figure. Find the value of the current that will produce a flux of 0.005 Wb. With this current, what is the flux density at the top of the core? What is the flux density at the right side of the core? Assume that the relative permeability of the core is 1000. -10 cm- - 20 cm- 15 cm 400 turns 15 cm 15 cm Core depth 5 cmA ferromagnetic core is shown in Figure Pl-2. The depth of the core is 5 cm. The other dimensions of the core are as shown in the figure. Find the value of the current that will produce a flux of 0.005 Wb. With this current, what is the flux density at the top of the core? What is the flux density at the right side of the core? Assume that the relative permeability of the core is 800. 1-5. 10 cm- 5em 20 em 15 cm 15 cm 15 cm Coe depth - Scm SOLUTION There are three regions in this core. The top and bottom form one region, the left side forms a second region, and the right side forms a third region. If we assume that the mean path length of the flux is in the center of each leg of the core, and if we ignore spreading at the corners of the core, then the path lengths are I, = 2(27.5 cm) = 55 cm, I, = 30 cm, and /, = 30 cm. The reluctances of these regions are:
- Question: 01 A two-legged core is shown in figure below. The winding on the left leg of the core (N) has 800 turns. The depth of the core is 15 cm. The small airgap is 0.05 cm and there is no fringing effect. If the dimensions are as shown, then determine the total reluctance of the given core when u, =800 and constant. 15cm 25cm 10cm 10cm 50cm N=800 5cm3- A magnetic core with an air gap is shown in below Figure. The depth of the core is 3 cm, the length of the air gap in the core is 4 cm, and the number of turns on the coil is 100. How much current is required to produce total flux of 0.00052 Weber? (H= 2000, Ho=4.n107). 6 cm 20 cm N = 100 4 cm = lg 6 cm 6 cm 18 cm 12 cm 18 cm 6 ст Depth = 3 cmQuestion 1 A ferromagnetic core with a relative permeability of 1500 is shown in Figure 2. The dimensions are as shown in the diagram, and the depth of the core is 7 cm. The air gaps on the left and right sides of the core are 0.070 and 0.020 cm, respectively. Because of fringing effects, the effective area of the air gaps is 5 percent larger than their physical size. If there are 400 turns in the coil wrapped around the center leg of the core and if the current in the coil is 1.0 A, what is a) the flux in each of the left, center, and right legs of the core? b) the flux density in each air gap? 7 cm ст ст 30 cm 30 cm 7 cm 400 turns 0.05 cm 30 cm 0.07 cm 7 cm Core depth = 7 cm Figure 2
- A ferromagnetic core in the shape of a doughnut has a cross-sectional area of 0.11 m2 and an average length of 1.4 m. The permeabil ity of the core is 1.206 × 10-3 Wb/A-t. m. Determine the reluctance of the magnetic circuitA ferromagnetic core is shown below. The depth of the core is 5 cm. The other dimensions of the core are as shown in the figure. Find the value of the current that will produce a flux of 0.003 Wb. With this current, what is the flux density at the top of the core? What is the flux density at the right side of the core? Assume that the relative permeability of the core is 1000. 1. - 10 cm--- - 20 cm - 15 cm 500 tums 15 cm 15 cm [1.21 A, 0.4 T, 1.2 T]Question: 01 A three-legged circular core is shown in figure below. The winding on the left leg of the core (N) has 800 turns. The depth of the core is 10 cm. If the dimensions are as shown, then determine the total reluctance of the given core when u, = 500 and constant. 15ст N=800 50ст Scm 15ст 60cm 20cm
- A magnetic ring has reluctance of 1.675 × 10⁰ AT weber. The flux to be produced by the coil is 800 x 10 webers, then the AT required for the m.m.f. will beconstant. 15 cm core depth = 15 cm Problem 2 A ferromagnetic core with a relative permeability of 2000 is shown in Figure. The dimensions are as shown in the diagram, and the depth of the core is 7 cm. The air gaps on the left and right sides of the core are 0.050 and 0.070 cm, respectively. If there are 300 turns in the coil wrapped around the center leg of the core and if the current in the coil is 1.0 A, what is the flux in each of the left, center, and right legs of the core? What is the flux density in each air gap? |7 cm 30 cm 7 cm 7 cm 30 cm 7 cm 30 cm -0,05 cm 300 turns 0.07 cm 7 cm 1|PageFor the magnetic circuit shown in the figure, the iron core with N = 500 turns -Magnetic permeability is 200. its average length is 40 cm -The diameter of the cross-sectional area is 1 cm. Find the current that must pass through the winding to produce 0.5 mWb of flux in a 1mm air-gap magnetic circuit?