1. Calculate the electric field induces for both inside and outside the solenoid with current I = I, sin(wt).
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- 2 An infinitely long thin conductor is bent into L-shape as shown in the figure. Find an expression for the magnetic field intensity on a point on z-axis. N x3. A long, hollow, cylindrical conductor with inner radius a and outer radius b carries a current I uniformly distributed over the cross-sectional area of the conductor (see the figure). (a)Use Ampere's law to find that the magnitude of the magnetic field at radius r from the axis of the conductor: (a) if rb.2. A time-dependent magnetic field is directed perpendicular to a given circular section of a solenoid. This magnetic field is confined to a cylindrical volume of radius R = 5.0 cm such that the magnetic field, B = 0 for radial distances r> R. Find the rate of change of the magnetic field that will result in an induced electric field of magnitude E = 0.5 V/m at radial distance, r =7.0 cm (outside the section). [-28 T/s]
- 7. Consider two semi-infinite wires connected with a 4 circular bend and current i flowing as shown. Using an appropriate combination of the Biot-Savart Law dB = Hoi dĩ x ê Ampere's Law 4n r² PB• ds = H, ime > superposition, and symmetry to calculate B at point P as indicated. Note: You must correctly support each step and explain exactly what assumptions you are making. RCalculate the Hall voltage induced on a patient's heart while being scanned by an MRI unit. Approximate the conducting path on the heart wall by a wire 8.00 cm long that moves at 10.0 cm/s perpendicular to a 1.45 T magnetic field. mV(L11) A thin 0.120 m copper rod on the x-y plane and parallel to the x axis moves with a constant velocity of 4.17 m/s in the +y direction as shown in the figure. There is a uniform magnetic field 5.84E-2 T everywhere in space pointing in the -z direction (into the page). The electric potential is measured to be Va at point a and V₁ at point b. What is the potential difference Va-V₁ (write down the sign and magnitude)? +y Va ZO Vb +x