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A rectangular loop carrying current I2 is placed parallel to an infinitely long filamentary wire carrying current I1 as shown in figure. Show that the force experienced by the loop is given by

A rectangular loop carrying current I2 is placed parallel to an infinitely long filamentary wire carrying current I1 as shown in figure. Show that the force experienced by the loop is given by

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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A rectangular loop carrying current I2 is placed parallel to an infinitely long filamentary
wire carrying current I1 as shown in figure. Show that the force experienced by the loop
is given by

SECTION B Q4. (a) State and Explain Biot- Savart's law. Determine the magnetic field intensity, H at the centre of square current element. The length of each side is 2m and the current I= 1Amp. (b) The +ve Y – axis (Semi – infinite line w.r.t. origin) carries a filamentary current of 4A in the -ay direction. Find H at (i) A (2,3,0) (ii) B (3,12,-4) Q5. (a) There exists a boundary between two magnetic material at z = 0 having permeability Hi = 4µo H/m for region1, where z>0 and u2 = 7µo H/m for region 2 where z<0. There exists a surface current of density k = 60 1, A/m at boundary z = 0. For a field B1 = 2 1y – 3 ly +2 1, m T in region 1. Find the value of flux density B2 in region 2. (b) State and explain the Maxwell's equation in differential and integral form. Also explain from which law they are derived. Q6. (a) A rectangular loop carrying current Iz is placed parallel to an infinitely long filamentary wire carrying current I, as shown in figure. Show that the force experienced by the loop is given by a,N 2n Po + al そ个 a (b) Do the fields É = Em sin x sin t åy H = "m cos x cos t å, satisfy Maxwell's equations. SECTION C Q7. (a) Derive an expression for the reflection coefficient of a uniform plane wave incident on a non-lossy medium. (b) For uniform plane wave in sea water find the value of Attenuation Constant, Phase Constant, Intrinsic impedance and wavelength at 10 MHz Given that o = 4 mho/m and e = 80 €o and u = lo. Q8. (a) Find the input impedance of 75-ohm lossless transmission line of length 0.12 when the load is short. (b) Why is it desirable to achieve an impedance match in a transmission line? Explain the different methods of impedance matching. Q9. (a) A 60-ohm distortionless transmission line has a capacitance of 0.15nF/m. The attenuation of the line 1.15*103 Np/m. Calculate: (i) The line parameter resistance
Transcribed Image Text:SECTION B Q4. (a) State and Explain Biot- Savart's law. Determine the magnetic field intensity, H at the centre of square current element. The length of each side is 2m and the current I= 1Amp. (b) The +ve Y – axis (Semi – infinite line w.r.t. origin) carries a filamentary current of 4A in the -ay direction. Find H at (i) A (2,3,0) (ii) B (3,12,-4) Q5. (a) There exists a boundary between two magnetic material at z = 0 having permeability Hi = 4µo H/m for region1, where z>0 and u2 = 7µo H/m for region 2 where z<0. There exists a surface current of density k = 60 1, A/m at boundary z = 0. For a field B1 = 2 1y – 3 ly +2 1, m T in region 1. Find the value of flux density B2 in region 2. (b) State and explain the Maxwell's equation in differential and integral form. Also explain from which law they are derived. Q6. (a) A rectangular loop carrying current Iz is placed parallel to an infinitely long filamentary wire carrying current I, as shown in figure. Show that the force experienced by the loop is given by a,N 2n Po + al そ个 a (b) Do the fields É = Em sin x sin t åy H = "m cos x cos t å, satisfy Maxwell's equations. SECTION C Q7. (a) Derive an expression for the reflection coefficient of a uniform plane wave incident on a non-lossy medium. (b) For uniform plane wave in sea water find the value of Attenuation Constant, Phase Constant, Intrinsic impedance and wavelength at 10 MHz Given that o = 4 mho/m and e = 80 €o and u = lo. Q8. (a) Find the input impedance of 75-ohm lossless transmission line of length 0.12 when the load is short. (b) Why is it desirable to achieve an impedance match in a transmission line? Explain the different methods of impedance matching. Q9. (a) A 60-ohm distortionless transmission line has a capacitance of 0.15nF/m. The attenuation of the line 1.15*103 Np/m. Calculate: (i) The line parameter resistance
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