Fundamentals of Applied Electromagnetics (7th Edition)
7th Edition
ISBN: 9780133356816
Author: Fawwaz T. Ulaby, Umberto Ravaioli
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Question
Chapter 5, Problem 6P
(a)
To determine
The torque acting on the coil.
(b)
To determine
The angle
(c)
To determine
The angle
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
A cylindrical capacitor is made of two concentric conducting cylinders. The inner cylinder has radius R1 = 19 cm and carries a uniform charge per unit length of λ = 30 μC/m. The outer cylinder has radius R2 = 25 cm and carries an equal but opposite charge distribution as the inner cylinder.
a. Use Gauss’ Law to write an equation for the electric field at a distance R1 < r < R2 from the center of the cylinders. Write your answer in terms of λ, r, and e0.
E=
b. Write an equation for the energy density due to the electric field between the cylinders in terms of λ, r, and e0.
u =
c. Consider a thin cylindrical shell of thickness dr and radius R1 < r < R2 that is concentric with the cylindrical capacitor. Write an equation for the total energy per unit length contained in the shell in terms of λ, r, dr, and ε0.
dU/l =
d. Calculate the energy stored per unit length in the capacitor in units of joules per meter.
U/l =
e. Calculate the electric potential difference between…
A plastic ball with a mass of 2 grams is hung on a 10 cm long thin rope as in the spherical figure,a uniform electric field is applied in the + x direction. When the rope is made at an angle of 15 ° verticallyIf the ball is in equilibrium, calculate the net load (in uC) on the plastic ball.
A positively charged ball falls vertically along the lines of a uniform electric field. The weight of the ball is larger than the electric force. The air drag force, exerted on the ball, is directly proportional to its speed. The mass and charge of the ball are equal to 0.48 kg and 0.29 C. The magnitude of the electic field is 4.9 V/m. Determine the ratio v1/v2, where v1 and v2 are the speeds of steady (i.e., constant speed) motion when the electric field vector is oriented upwards and downwards, respectively.
Chapter 5 Solutions
Fundamentals of Applied Electromagnetics (7th Edition)
Ch. 5.1 - What are the major differences between the...Ch. 5.1 - Prob. 2CQCh. 5.1 - How is the direction of the magnetic moment of a...Ch. 5.1 - If one of two wires of equal length is formed into...Ch. 5.1 - An electron moving in the positive x direction...Ch. 5.1 - A proton moving with a speed of 2 106 m/s through...Ch. 5.1 - A charged particle with velocity u is moving in a...Ch. 5.1 - A horizontal wire with a mass per unit length of...Ch. 5.1 - A square coil of 100 turns and 0.5 m long sides is...Ch. 5.2 - Two infinitely long parallel wires carry currents...
Ch. 5.2 - Devise a right-hand rule for the direction of the...Ch. 5.2 - What is a magnetic dipole? Describe its magnetic...Ch. 5.2 - Prob. 6ECh. 5.2 - A wire carrying a current of 4 A is formed into a...Ch. 5.2 - Prob. 8ECh. 5.3 - What are the fundamental differences between...Ch. 5.3 - Prob. 9CQCh. 5.3 - Compare the utility of applying the BiotSavart law...Ch. 5.3 - Prob. 11CQCh. 5.3 - A current I flows in the inner conductor of a long...Ch. 5.3 - The metal niobium becomes a superconductor with...Ch. 5.5 - What are the three types of magnetic materials and...Ch. 5.5 - What causes magnetic hysteresis in ferromagnetic...Ch. 5.5 - Prob. 14CQCh. 5.5 - The magnetic vector M is the vector sum of the...Ch. 5.6 - With reference to Fig. 5-24, determine the single...Ch. 5.7 - Prob. 15CQCh. 5.7 - What is the difference between self-inductance and...Ch. 5.7 - Prob. 17CQCh. 5.7 - Use Eq. (5.89) to obtain an expression for B at a...Ch. 5 - An electron with a speed of 8 106 m/s is...Ch. 5 - When a particle with charge q and mass m is...Ch. 5 - The circuit shown in Fig. P5.3 uses two identical...Ch. 5 - The rectangular loop shown in Fig. P5.4 consists...Ch. 5 - In a cylindrical coordinate system, a 2 m long...Ch. 5 - Prob. 6PCh. 5 - Prob. 7PCh. 5 - Prob. 8PCh. 5 - The loop shown in Fig. P5.9 consists of radial...Ch. 5 - An infinitely long, thin conducting sheet defined...Ch. 5 - An infinitely long wire carrying a 25 A current in...Ch. 5 - Prob. 12PCh. 5 - Prob. 13PCh. 5 - Prob. 14PCh. 5 - A circular loop of radius a carrying current I1 is...Ch. 5 - Prob. 16PCh. 5 - Prob. 17PCh. 5 - Prob. 18PCh. 5 - Three long, parallel wires are arranged as shown...Ch. 5 - A square loop placed as shown in Fig. P5.20 has 2...Ch. 5 - Prob. 21PCh. 5 - Prob. 22PCh. 5 - Repeat Problem 5.22 for a current density J=zJ0er.Ch. 5 - In a certain conducting region, the magnetic field...Ch. 5 - Prob. 25PCh. 5 - Prob. 26PCh. 5 - Prob. 27PCh. 5 - A uniform current density given by J=zj0 (A/m2)...Ch. 5 - A thin current element extending between z = L/2...Ch. 5 - In the model of the hydrogen atom proposed by Bohr...Ch. 5 - Iron contains 8.5 1028 atoms/m3. At saturation,...Ch. 5 - The xy plane separates two magnetic media with...Ch. 5 - Given that a current sheet with surface current...Ch. 5 - In Fig. P5.34, the plane defined by x y = 1...Ch. 5 - The plane boundary defined by z = 0 separates air...Ch. 5 - Prob. 36PCh. 5 - Prob. 37PCh. 5 - A solenoid with a length of 20 cm and a radius of...Ch. 5 - Prob. 39PCh. 5 - The rectangular loop shown in Fig. P5.40 is...Ch. 5 - Determine the mutual inductance between the...
Knowledge Booster
Similar questions
- Calculate D in rectangular coordinates at point P(2,-3,6) produce by: (a) a point charge QA=55 mC at Q(-2,3,-6); (b) a uniform line charge ρLB=20mCmρLB=20mCm on the x axis; (c) a uniform surface charge density ρSC=120μCm2ρSC=120μCm2on the plane z=-5m.arrow_forwardContinuity Equation and Relaxation Time Lightning strikes a dielectric sphere of radius 20 mm for which er εr = 2.5, σ= 5 x10-6 S/m and deposits uniformly a charge of 1 C. Determine the initial volume charge density and the volume charge density 2 μs later.arrow_forwardA solid metallic sphere of radius a carries total chargeQ. No other charges are nearby. The electric fieldjust outside its surface is keQ /a2 radially outward. Atthis close point, the uniformly charged surface of thesphere looks exactly like a uniform flat sheet of charge.Is the electric field here given by s/P0 or by s/2P0?arrow_forward
- 1.) A uniform line charge of density P=1nC/m is arranged in the form of a square 6m on a side, as shown in fig. 5-15. Find the potential at (0,0,5)m. 2.) Find the work done in moving a point charge Q=3uC from (4m,pi,0) to (2m,pi/2,2m), cylindrical coordinates, in the Field E=(10^5/r)ar+(10^5)az (V/m)arrow_forwardSuppose a capacitor consists of two coaxial thin cylindrical conductors. The inner cylinder of radius ra has a charge of +Q, while the outer cylinder of radius rb has charge -Q. The electric field E at a radial distance r from the central axis is given by the function: E = αe-r/a0 + β/r + b0 where alpha (α), beta (β), a0 and b0 are constants. Find an expression for its capacitance. First, let us derive the potential difference Vab between the two conductors. The potential difference is related to the electric field by: V subscript a b end subscript equals integral subscript r subscript a end subscript superscript r subscript b end superscript E d r equals negative integral subscript r subscript b end subscript superscript r subscript a end superscript E d r Calculating the antiderivative or indefinite integral , Vab = (-αa0e-r/a0 + β+ b0 )right enclose blank end enclose subscript space r subscript a end subscript superscript space r subscript b end superscript By definition, the…arrow_forwardhe electric field in the region of space shown is given by: E = (5i + 2j+6k) N/C, What is the magnitude of the electric flux through the Top face of the cube shown? Given that the length of the cube (L) = 6 m.arrow_forward
- In free space, q1 = nCand LaTeX: q_2 = 4nC loads are placed at y = 1 and y = 6 respectively on the y-axis as shown in the figure. Accordingly, what is the electric potential value at y = 4?arrow_forwardThe surface charge density p = 3R C / m² is grounded on the surface of the inside of the two concentric thin conductive spheres given in the figure. The space between the two spheres is filled with a dielectric of & 5a. Find a) the electric field intensity between the spheres,b) the potential difference between the spheres, andc) the capacitance between the spheres, and the outer sphere surface is present.Constants: at photoarrow_forwardFind the relative permittivity of the dielectric material present in a parallel-platecapacitor if: (a) S = 0.12 m/, d = 80 μm, V = 12 volt, and the capacitor contains1 ?? of energy; (b)The stored energy density is 100 ?/?/, V = 200 volt, and ? =45 ??; (c) ? = 200 ??/? and ?# = 20 ??/?/.arrow_forward
- A rectangular frame with the dimensions a=1.7 m, b=1.5 m is located on the xy-plane with its center at the origin as shown in the below figure. An electromagnetic wave with an induction field of B vector =0.6cos(2πt)az(vector) T exists. Calculate V0 if the electromotive force is in the form of e(t)=V0sin(2πt) voltsarrow_forwardWithin the cylinder ρ=5 (m), 0≤z≤1 (m), the potential field is given by V=100+50ρ+150ρ sin Φ Determine the potential (in V) at P(1, π/3, 0.5) in free space.arrow_forward(Electromagnetism) A load distribution of uniform density ρ, forms a very long cylinder of radius a. One end of the cylinder has a spherical depression of radius b > a in such a way that the center of curvature of depression shower falls at a point p on the axis of the cylinder. Find the electric field at point p.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Introductory Circuit Analysis (13th Edition)Electrical EngineeringISBN:9780133923605Author:Robert L. BoylestadPublisher:PEARSONDelmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage LearningProgrammable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education
- Fundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill EducationElectric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSONEngineering ElectromagneticsElectrical EngineeringISBN:9780078028151Author:Hayt, William H. (william Hart), Jr, BUCK, John A.Publisher:Mcgraw-hill Education,
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:PEARSON
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Cengage Learning
Programmable Logic Controllers
Electrical Engineering
ISBN:9780073373843
Author:Frank D. Petruzella
Publisher:McGraw-Hill Education
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:9780078028229
Author:Charles K Alexander, Matthew Sadiku
Publisher:McGraw-Hill Education
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:9780134746968
Author:James W. Nilsson, Susan Riedel
Publisher:PEARSON
Engineering Electromagnetics
Electrical Engineering
ISBN:9780078028151
Author:Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:Mcgraw-hill Education,