Chapter 29.7, Problem 1FE

In the figure an electric field is directed out of the page within a circular region of radius R = 3.50 cm. The magnitude of the electric field is given by E = (0.600 V/m.s)(1 - r/R)t, where radial distance r ≤ R and t is in seconds. What is the magnitude of the magnetic field that is induced at radial distances (a)2.50 cm and (b)7.50 cm? (a) Number (b) Number 4.34E-20 i Units T Units R T

(a) An electron moves through a uniform electric field E = (2.30î + 4.50j) V/m and a uniform magnetic field B = 0.400k T. Determine the acceleration of the electron when it has a velocity v = 12.oî m/s. (Give each component in m/s2.) ax |m/s² a. m/s2 dy m/s? a %3D (b) What If? For the electron moving along the x-axis in the fields in part (a), what speed (in m/s) would result in the electron also experiencing an acceleration directed along the x-axis? m/s Need Help? Watch It

An electron has an initial velocity of (12.5j +19.0k) km/s and a constant acceleration of (1.10*10^12 m/s^2)i in a region in which uniform electric and magnetic fields are present. If B= (400 uT)I find the electric field Ex, Ey, and Ez?

A charge q = 1.184E-17 C moves with velocity v = vz k = 5500 k m/s in a uniform electric field E = Ex i = 25 i V/m and a uniform magnetic field B = By j = 0.25 j T. Refer to the figure. q = 1.184E-17 Cv = vzk = 5500 k m/sE = Exi = 25 i V/mB = Byj = 0.25 j T 1. Express the magnitude of the electric force acting on the charge FE, in terms of Ex and q.  2. Calculate the value of FE, in newtons.  3. What is the direction of the electric force on the charge?  4. Express the magnitude of the magnetic force, FB, acting on the charge in terms of By, vz and q.  5. Calculate the value of FB, in newtons.  6. What is the direction of the magnetic force on the charge?

An electric current is flowing through a long cylindrical conductor with radius a = 0.15 m. The current density J = 2.5 A/m2 is uniform in the cylinder. In this problem, we consider an imaginary cylinder with radius r around the axis AB.   Part (e)  When r is greater than a, express the current inside the imaginary cylinder in terms of r, a, and J.   Part (f)  Express the magnitude of the magnetic field, B, at r > a in terms of I and r.   Part (g)  Express B in terms of J, a and r.  Part (h)  For r = 2 a, calculate the numerical value of B in Tesla.    I already did the first few parts. I am most confused on parts e and g, how to derive the equations. Thanks so much!

a conducting rod of length LLL = 35.0 cm moves in a magnetic field B B→\vec{B} of magnitude 0.530 TT directed into the plane of the figure. The rod moves with speed v = 7.00 m/sm/s in the direction shown. When the charges in the rod are in equilibrium, what is the magnitude EEE of the electric field within the rod? Express your answer in volts per meter to at least three significant figures.

Physics In the figure a uniform electric field is directed out of the page within a circular region of radius R = 4.00 cm. The magnitude of the electric field is given by E = (3.50 × 10-3 V/m•s)t, where t is in seconds. What is the magnitude of the magnetic field that is induced at radial distances (a)3.00 cm and (b)5.50 cm?

A magnetic field is oriented at an angle of 57 ∘ to the normal of a rectangular area 4.8 cm by 6.6 cm . If the magnetic flux through this surface has a magnitude of 4.5×10−5  T⋅m2  , what is the strength of the magnetic field in mT?

A negatif charge q= 2.20 x10-19 C moves with a velocity v=(i-3j+2k ) m/s through a region where both a uniform magnetic field and a uniform electric field exist. (a) Calculate the total force vector on the moving charge (in unit-vector notation), taking magnetic field vector              B = (2i - 4j + 2k) T and electric field vectör E = (i + 2j - 3k) V/m. (b) Calculate the magnitude of the total force.