Problem 3: A wire, of length L = 3.8 mm, on a circuit board carries a current of I = 2.37 µA in the j direction. A nearby circuit element generates a magnetic field in the vicinity of the wire of B = Byi + Byj + Bzk, where Bx = -2.5 G, By = -1.1 G, and B, = 2.8 G. Part (a) Calculate the magnitude of the magnetic field B, in gauss, in the vicinity of the wire due to the circuit element. Numeric : A numeric value is expected and not an expression. B = Part (b) Calculate the i component of the magnetic force Fx, in newtons, exerted on the wire by the magnetic field due to the circuit element. Numeric : A numeric value is expected and not an expression. Fx = Part (c) Calculate the j component of the magnetic force Fy, in newtons, exerted on the wire by the magnetic field due to the circuit element. Numeric : A numeric value is expected and not an expression. Fy = Part (d) Calculate the k component of the magnetic force Fz, in newtons, exerted on the wire by the magnetic field due to the circuit element. Numeric : A numeric value is expected and not an expression. Fz Part (e) Calculate the magnitude of the magnetic force F, in newtons, exerted on the wire by the magnetic field due to the circuit element. Numeric : A numeric value is expected and not an expression. F = Part (f) If you simply multiply the current, the length, and the magnetic field strength ILB, (in appropriate units), you will find that this results in a larger calculated force larger than the answer to part (e). Which of the following scenarios would result in the maximum force exerted on the current carrying wire? MultipleChoice : 1) None of the other proposed changes would alter the force acting on the wire. 2) The current runs at a 45° angle to the magnetic field. 3) The current runs in the opposite direction as the magnetic field. 4) The current runs in the same direction as the magnetic field. 5) The current runs perpendicular to the magnetic field.

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can you please solve (d),  (e) & (f),  (g)?

Problem 3: A wire, of length L = 3.8 mm, on a circuit board carries a current of I = 2.37 µA in the j direction. A
nearby circuit element generates a magnetic field in the vicinity of the wire of B = Byi + Byj + Bzk, where By =
-2.5 G, By = -1.1 G, and Bz = 2.8 G.
Part (a) Calculate the magnitude of the magnetic field B, in gauss, in the vicinity of the wire due to the circuit element.
Numeric : A numeric value is expected and not an expression.
B =
Part (b) Calculate the i component of the magnetic force Fy, in newtons, exerted on the wire by the magnetic field due to
the circuit element.
Numeric : A numeric value is expected and not an expression.
Fx =
Part (c) Calculate the j component of the magnetic force Fy, in newtons, exerted on the wire by the magnetic field due to the
circuit element.
Numeric : A numeric value is expected and not an expression.
%3D
Part (d) Calculate the k component of the magnetic force Fz, in newtons, exerted on the wire by the magnetic field due to
the circuit element.
Numeric : A numeric value is expected and not an expression.
Fz =
Part (e) Calculate the magnitude of the magnetic force F, in newtons, exerted on the wire by the magnetic field due to the
circuit element.
Numeric : A numeric value is expected and not an expression.
F =
Part (f) If you simply multiply the current, the length, and the magnetic field strength ILB, (in appropriate units), you will
find that this results in a larger calculated force larger than the answer to part (e). Which of the following scenarios would
result in the maximum force exerted on the current carrying wire?
MultipleChoice :
1) None of the other proposed changes would alter the force acting on the wire.
2) The current runs at a 45° angle to the magnetic field.
3) The current runs in the opposite direction as the magnetic field.
4) The current runs in the same direction as the magnetic field.
5) The current runs perpendicular to the magnetic field.
Transcribed Image Text:Problem 3: A wire, of length L = 3.8 mm, on a circuit board carries a current of I = 2.37 µA in the j direction. A nearby circuit element generates a magnetic field in the vicinity of the wire of B = Byi + Byj + Bzk, where By = -2.5 G, By = -1.1 G, and Bz = 2.8 G. Part (a) Calculate the magnitude of the magnetic field B, in gauss, in the vicinity of the wire due to the circuit element. Numeric : A numeric value is expected and not an expression. B = Part (b) Calculate the i component of the magnetic force Fy, in newtons, exerted on the wire by the magnetic field due to the circuit element. Numeric : A numeric value is expected and not an expression. Fx = Part (c) Calculate the j component of the magnetic force Fy, in newtons, exerted on the wire by the magnetic field due to the circuit element. Numeric : A numeric value is expected and not an expression. %3D Part (d) Calculate the k component of the magnetic force Fz, in newtons, exerted on the wire by the magnetic field due to the circuit element. Numeric : A numeric value is expected and not an expression. Fz = Part (e) Calculate the magnitude of the magnetic force F, in newtons, exerted on the wire by the magnetic field due to the circuit element. Numeric : A numeric value is expected and not an expression. F = Part (f) If you simply multiply the current, the length, and the magnetic field strength ILB, (in appropriate units), you will find that this results in a larger calculated force larger than the answer to part (e). Which of the following scenarios would result in the maximum force exerted on the current carrying wire? MultipleChoice : 1) None of the other proposed changes would alter the force acting on the wire. 2) The current runs at a 45° angle to the magnetic field. 3) The current runs in the opposite direction as the magnetic field. 4) The current runs in the same direction as the magnetic field. 5) The current runs perpendicular to the magnetic field.
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