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Question-I: The core in the magnetic circuit shown in Fig.1 is made up of sheet-steel and excited with DC current to produce a flux (4g) of 5×104 Wb in the air-gap. Data for the B-H characteristic of the core is given below in Fig.2. The cross-section of the core, A. = 10 cm2.The coil has N = 1000 turns. Also, g = 5 mm and lc= 40 cm. The effects of fringing fields at the air-gap and leakage flux are not neglected. a) Determine the coil current (I). b) Calculate the energy stored in the air-gap (W g). c) The coil is now excited with an AC current of 50 Hz. If the maximum flux produced Pmax = 6 × 10-4 Wb, find the effective (rms) value of the voltage applied across the coil terminals (Vrms). fc = 40cm N= 1000 g = 5mm тах 4 5cm- Fig.1: Magnetic Circuit 1.25 1 0.75 0.5 0.25 200 425 650 875 1100 1325 1550 1775 2000 Flux Intensity, H (A-turn/m) Fig.2: DC magnetization curve for sheet-steel Flux Density, B (Wb/m²)

Question-I: The core in the magnetic circuit shown in Fig.1 is made up of sheet-steel and excited with DC current to produce a flux (4g) of 5×104 Wb in the air-gap. Data for the B-H characteristic of the core is given below in Fig.2. The cross-section of the core, A. = 10 cm2.The coil has N = 1000 turns. Also, g = 5 mm and lc= 40 cm. The effects of fringing fields at the air-gap and leakage flux are not neglected. a) Determine the coil current (I). b) Calculate the energy stored in the air-gap (W g). c) The coil is now excited with an AC current of 50 Hz. If the maximum flux produced Pmax = 6 × 10-4 Wb, find the effective (rms) value of the voltage applied across the coil terminals (Vrms). fc = 40cm N= 1000 g = 5mm тах 4 5cm- Fig.1: Magnetic Circuit 1.25 1 0.75 0.5 0.25 200 425 650 875 1100 1325 1550 1775 2000 Flux Intensity, H (A-turn/m) Fig.2: DC magnetization curve for sheet-steel Flux Density, B (Wb/m²)

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Advanced Physics Question-I: The core in the magnetic circuit shown in Fig.1 is made up of sheet-steel and excited with DC current to produce a flux (g) of 5×10-4 Wb in the air-gap. Data for the B-H characteristic of the core is given below in Fig.2. The cross-section of the core, A. = 10 cm². The coil has N = 1000 turns. Also, g = 5 mm and lc= 40 cm. The effects of fringing fields at the air-gap and leakage flux are not neglected. a) Determine the coil current (I). b) Calculate the energy stored in the air-gap (W g). lc = 40cm c) The coil is now excited with an AC current of 50 Hz. If the maximum flux produced Pmax = 6 × 10-4 Wb, find the effective (rms) value of the voltage applied across the coil terminals (Vrms). N= 1000 VZzcm g= 5mm 4 5cm E Fig.1: Magnetic Circuit 1.25 1 0.75 0.5 0.25 200 425 650 875 1100 1325 1550 1775 2000 Flux Intensity, H (A-turn/m) Fig.2: DC magnetization curve for sheet-steel Flux Density, B (Wb/m²)
Transcribed Image Text:Advanced Physics Question-I: The core in the magnetic circuit shown in Fig.1 is made up of sheet-steel and excited with DC current to produce a flux (g) of 5×10-4 Wb in the air-gap. Data for the B-H characteristic of the core is given below in Fig.2. The cross-section of the core, A. = 10 cm². The coil has N = 1000 turns. Also, g = 5 mm and lc= 40 cm. The effects of fringing fields at the air-gap and leakage flux are not neglected. a) Determine the coil current (I). b) Calculate the energy stored in the air-gap (W g). lc = 40cm c) The coil is now excited with an AC current of 50 Hz. If the maximum flux produced Pmax = 6 × 10-4 Wb, find the effective (rms) value of the voltage applied across the coil terminals (Vrms). N= 1000 VZzcm g= 5mm 4 5cm E Fig.1: Magnetic Circuit 1.25 1 0.75 0.5 0.25 200 425 650 875 1100 1325 1550 1775 2000 Flux Intensity, H (A-turn/m) Fig.2: DC magnetization curve for sheet-steel Flux Density, B (Wb/m²)
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