A wire (Wire A) carries current out of the page, as shown. The wire consists of two different materials. The inner core of the wire (shown in blue) has a radius of 5 cm and a varying current density that can be modeled by the equation J(r)=4120 r^2. The outer shell of the wire (shown in purple) has an outer radius of 10 cm and carries a current of 60 mA that is uniformly distributed through the cross-section of the purple shell.   Express your answers in terms of μ 0, as appropriate. a) Determine the magnitude and direction of the magnetic field as a function of r when r < 5 cm. b) Determine the magnitude and direction of the magnetic field as a function of r when 5 cm < r < 10 cm. c) Determine the magnitude and direction of the magnetic field as a function of r when r > 10 cm. d) Wire B is located 70 cm to the right of Wire A. Determine the magnitude and direction of the current in Wire B that will result in no magnetic field at point P, located 20 cm away from Wire B.

Q: A long solenoid has 100 turns/cm and carries current i. An electron moves within the solenoid in a…

A: For electron in the magnetic Field qVB=mv2rB=mver=9.11×10-31×1.38×1071.6×10-19(2.30×10-2)=3.4×10-3

Q: The core of toroid is 12 cm² and is made up of material with the ur = 200. If the mean radius of…

A: 1:

Q: A magnetic material has a relative permeability of 3500. A magnetic circuit is constructed using…

A:

Q: Two coaxial conducting cylinders of radius 5 cm and 9 cm have a length of 4.56m. The region between…

A: Formula for calculating capacitance is provided in the answer. Answer after rounding to two decimal…

Q: A coil of 300 turns is wound on a non-magnetic core having a mean circumference of 300 mm and a…

A: For the given  N= 300 turns  l = 300mm A=300mm2 I =3A μ0=4π×10-7 Inductance and MMF is calculated as…

Q: A coil of 300 turns is wound on a non-magnetic core having a mean circumference of 300 mm and a…

A: Given, Number of turns of a coil, N = 300 Mean Circumference of coil, l = 300 mm Cross section area,…

Fault Analysis

In an electrical engineering system, a fault is an abnormal electric current flowing through the system, and fault analysis is the study of these faults. For instance, a short-circuit is a fault where the live wire touches the ground or neutral wire. If a circuit is interrupted by a failure of a current-carrying wire then an open circuit fault occurs. The open-circuit faults are also called series faults. One or more phases or ground may be involved in a three-phase fault or may occur only between two phases. Current flows into the earth in case of a ground fault or earth fault. For most situations, the prospective short circuit current of a fault that is predictable can be calculated. To limit the loss of service because of a failure, the protective devices can detect fault conditions and operate circuit breakers and also other devices. All phases equally can be affected in a poly-phase system which is known as symmetric electrical fault. The asymmetric fault becomes more complicated to analyze if only some phases are affected. By using methods such as symmetrical components, the power system analysis of these types of faults is often simplified. The main objective of power system protection is to design, detect, and interrupt power system faults.