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As in the figure, current I flows through a circular conductive cross section with radius b....
A very long, straight conductor located along the z axis has a circular cross section of radius 10 cm
5-15 Exercises: 5.16. A very long, straight conductor located along the z axis has a circular cross section of radius 10 cm. The conductor carries 100 A in the z direction which is uniformly distributed over its cross section. Find the magnetic field intensity (a) inside the conductor and (b) outside the conductor. Sketch the magnetic field intensity as a function of the distance from the center of the conductor. 5-15 Exercises: 5.18. A fine wire wound in the form of...
Assuming a current I in a semi-circular wire with radius a. What is the magnetic flux...
Assuming
a current I in a semi-circular wire with radius a. What is the
magnetic flux density on a point at the center of the semi-circle
and above the semi-circle plane by a distance d. Also find the
magnetic flux density if the circle is full.
4. Assuming a current I in a semi-circular wire with radius a. What is the magnetic flux density on a point at the center of the semi-circle and above the semi-circle plane by a...
An infinitely long, straight conductor with a circular cross-section of radius b carries a steady current I. (a) Determine the magnetic flux density (B) both inside and outside the conductor. (b) Det...
An infinitely long, straight conductor with a circular cross-section of radius b carries a steady current I. (a) Determine the magnetic flux density (B) both inside and outside the conductor. (b) Determine the vector magnetic potential (A) both inside and outside the conductor from the relationship B V x A
An infinitely long, straight conductor with a circular cross-section of radius b carries a steady current I. (a) Determine the magnetic flux density (B) both inside and outside the conductor....
A cylindrical conductor of a circular cross section (radius = a) carries a time-invariant current I(>0)...
A cylindrical conductor of a circular cross section (radius = a) carries a time-invariant current I(>0) directed out of the page. The line integral of the magnetic flux density vector B, along a closed circular contour C positioned inside the conductor (the contour radius r is smaller than the conductor radius a) is conductor
Problem 1 (25 points): Magnetic Fields. A circular loop of current I, and radius ro lies in the x...
Problem 1 (25 points): Magnetic Fields. A circular loop of current I, and radius ro lies in the x-y plane as shown. P (ro,0,zo) a) Using the Biot-Savart Law, set up the integral expression to evaluate the magnetic flux density at the point P (ro,0,zo). Do not evaluate the integral(s) in this part but specify the expressions for the x, y, and z components of the resulting flux density Problem 1 (continued): b) Given the right-hand rule for magnetic fields...
(a) (10 marks] A straight wire along the ź direction with a circular cross-section of radius...
(a) (10 marks] A straight wire along the ź direction with a circular cross-section of radius R, carries a total current of magnitudel, and the magnitude of the current density varies as I = ks 2 where k is a constant and s is the radial distance from the axis of the wire. i) Express the constant k in terms of I and R. Show that the magnetic field inside the wire can be expressed as B = 80. Find...
Task 2 A horizontal conductive rod of rectangular cross section progressively accelerates upward along a smooth...
Task 2 A horizontal conductive rod of rectangular cross section progressively accelerates upward along a smooth inclined plane in a vertical uniform magnetic field (see figure). A current i = 4 A flows through the rod. The angle of inclination of the plane is a = 30°. The ratio of the mass of the rod to its length m/L = 0.1 kg/m The magnetic field induction module B = 0.2 T. What is the acceleration of the rod? a
b inside a current carrying wire A steady current I flows through a wire of radius...
b inside a current carrying wire
A steady current I flows through a wire of radius a. The current density in a wire varies with ras ) = kr2, where k is a constant and r is the distance from the axis of the wire. Find expressions for the magnitudes of the magnetic field inside and outside the wire as a function of r. (Hint: Find the current through an Ampèrian loop of radius r using thru /j. dA. Use...
Problem 1 (25 points): Magnetic Fields. A circular loop of current Io and radius ro lies in the x...
Problem 1 (25 points): Magnetic Fields. A circular loop of current Io and radius ro lies in the x-y plane as shown P (ro,0,zo) 0 a) Using the Biot-Savart Law, set up the integral expression to evaluate the magnetic flux density at the point P (ro,0,zo). Do not evaluate the integral(s) in this part but specify the expressions for the x, y, and z components of the resulting flux density. b) Given the right-hand rule for magnetic fields around currents,...
3. A circular loop of radius a carrying current I, is located in the x-y plane...
3. A circular loop of radius a carrying current I, is located in the x-y plane as shown in the figure. In ent I, in a direction parallel with the z-axis is located addition, an infinitely long wire carrying curr a. Determine the equation for H at P (0,0,h) b. Evaluate H for a-10cm, yo 25cm, h-12cm, 30A and b 15A C. What is B at the same point with the same variable values? Assume -8uo
Assuming
a current I in a semi-circular wire with radius a. What is the
magnetic flux density on a point at the center of the semi-circle
and above the semi-circle plane by a distance d. Also find the
magnetic flux density if the circle is full.
4. Assuming a current I in a semi-circular wire with radius a. What is the magnetic flux density on a point at the center of the semi-circle and above the semi-circle plane by a...
An infinitely long, straight conductor with a circular cross-section of radius b carries a steady current I. (a) Determine the magnetic flux density (B) both inside and outside the conductor. (b) Determine the vector magnetic potential (A) both inside and outside the conductor from the relationship B V x A
An infinitely long, straight conductor with a circular cross-section of radius b carries a steady current I. (a) Determine the magnetic flux density (B) both inside and outside the conductor....
A cylindrical conductor of a circular cross section (radius = a) carries a time-invariant current I(>0) directed out of the page. The line integral of the magnetic flux density vector B, along a closed circular contour C positioned inside the conductor (the contour radius r is smaller than the conductor radius a) is conductor
Problem 1 (25 points): Magnetic Fields. A circular loop of current I, and radius ro lies in the x-y plane as shown. P (ro,0,zo) a) Using the Biot-Savart Law, set up the integral expression to evaluate the magnetic flux density at the point P (ro,0,zo). Do not evaluate the integral(s) in this part but specify the expressions for the x, y, and z components of the resulting flux density Problem 1 (continued): b) Given the right-hand rule for magnetic fields...
(a) (10 marks] A straight wire along the ź direction with a circular cross-section of radius R, carries a total current of magnitudel, and the magnitude of the current density varies as I = ks 2 where k is a constant and s is the radial distance from the axis of the wire. i) Express the constant k in terms of I and R. Show that the magnetic field inside the wire can be expressed as B = 80. Find...
Task 2 A horizontal conductive rod of rectangular cross section progressively accelerates upward along a smooth inclined plane in a vertical uniform magnetic field (see figure). A current i = 4 A flows through the rod. The angle of inclination of the plane is a = 30°. The ratio of the mass of the rod to its length m/L = 0.1 kg/m The magnetic field induction module B = 0.2 T. What is the acceleration of the rod? a
b inside a current carrying wire
A steady current I flows through a wire of radius a. The current density in a wire varies with ras ) = kr2, where k is a constant and r is the distance from the axis of the wire. Find expressions for the magnitudes of the magnetic field inside and outside the wire as a function of r. (Hint: Find the current through an Ampèrian loop of radius r using thru /j. dA. Use...
Problem 1 (25 points): Magnetic Fields. A circular loop of current Io and radius ro lies in the x-y plane as shown P (ro,0,zo) 0 a) Using the Biot-Savart Law, set up the integral expression to evaluate the magnetic flux density at the point P (ro,0,zo). Do not evaluate the integral(s) in this part but specify the expressions for the x, y, and z components of the resulting flux density. b) Given the right-hand rule for magnetic fields around currents,...
3. A circular loop of radius a carrying current I, is located in the x-y plane as shown in the figure. In ent I, in a direction parallel with the z-axis is located addition, an infinitely long wire carrying curr a. Determine the equation for H at P (0,0,h) b. Evaluate H for a-10cm, yo 25cm, h-12cm, 30A and b 15A C. What is B at the same point with the same variable values? Assume -8uo
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