In the figure a uniform electric field is directed out of the page within a circular region of radius R = 2.50 cm. The magnitude of the electric field is given by E = (3.50 x 103 V/m.s)t, where t is in seconds. What is the magnitude of the magnetic field that is induced at radial distances (a)1.50 cm and (b)6.50 cm? (a) Number i (b) Number i Units Units
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- Problem 4. A magnetic field directed into the page changes with time according to B = 2.0t³ - 4.0ť² + 3.0, where B is in tesla and t is in seconds. The field has a circular cross section of radius R = 2.5 cm (see figure below). (a) When t= 1.00 s and r₁= 5.0 cm, what are the magnitude and the direction of the electric field at point P₁? (b)When t = 2.00 s and r2 = 2.0 cm, what are the magnitude and the direction of the electric field at point P₂? xxxxx xxxxx xxxx** ** xxx T97 xxx R x xxxxx ****** xxxxx Bin n P₁A cube of edge length = 5.00 cm is positioned as shown in the figure below. A uniform magnetic field given by B = (4.9 î+ 4.0 ĵ + 3.0 k) T exists throughout the region. y l B (a) Calculate the magnetic flux through the shaded face. mWb (b) What is the total flux through the six faces? mWbThe figure below shows three edge views of a square loop with sides of length ℓ = 0.240 m in a magnetic field of magnitude 1.25 T. Calculate the magnetic flux (in Wb) through the loop oriented perpendicular to the magnetic field, 60.0° from the magnetic field, and parallel to the magnetic field. (a) perpendicular to the magnetic field The SI unit of magnetic flux is the weber (Wb), given by 1 Wb = 1 T · m2. Wb (b) 60.0° from the magnetic field Wb (c) parallel to the magnetic field would like an explanation to go with problems, please.
- A cube of edge length = 4.60 cm is positioned as shown in the figure below. A uniform magnetic field given by B = (6.5 î+ 4.0 ĵ + 3.0 k) T exists throughout the region. B # i (a) Calculate the magnetic flux through the shaded face. mWb (b) What is the total flux through the six faces? mWbA magnetic field of strength 0.25 T is directed perpendicular to a plane circular loop of wire of radius 23 cm. Find the magnetic flux through the area enclosed by this loop. T·m2Given: B = 5 * 10-5 T ẑ; σ = 4 (Ohm-meters)-1 (conductivity) a) Assume that seawater is moving at a constant velocity v = v0 ŷ and that the Earth’s magnetic field is along the ẑ-direction. Calculate the electric current density J produced by the magnetic force. Hint: first compute the force per unit charge, F/q, and then use the relationship J = σ(F/q). b) Derive the equation of motion of a cylindrical differential volume element of base area δA and height δh parallelto the direction of J. Assume that seawater has a known volumetric mass density ρ. Show that this equation implies that the velocity satisfies the following differential equation:dvy/dt = vy/τwhere τ is a constant that you should write in terms of B, σ, and ρ.
- The figure shows a circular region of radius R = 2.50 cm in which a uniform electric flux is directed out of the plane of the page. The total electric flux through the region is given by PE = (3.00 mV-m/s)t, where t is in seconds. What is the magnitude of the magnetic field that is induced at radial distances (a)1.50 cm and (b)7.50 cm? (a) Number i (b) Number i eTextbook and Media Units Units RA circular conducting loop with a radius of 1.00 m and a small gap filled with a 10.0 resistor is oriented in the xy-pane. If a magnetic field of 2.0 T, making an angle of 30° with the z-axis increases to 9.0 T, in 2.0 s, what is the magnitude of the current that will be caused to flow in the conductor?Consider the cylindrical conductor with a hollow center and copper walls of thickness b-a as shown. The radii of the inner and outer walls are a and b respectively. and the current I is uniformly spread over the cross section of the copper (shaded region). What is the magnitude of the magnetic field in units of nT at r- 24.1cm. a=13cm, b=30.5cm, 7- 200mA, Hom4 x 10 Tm/A. Provide your answer with two decimal places. A -- 01 (out of page)