J F. dr along the paths C₁ and C₂ shown in the following vector field C is positive, negative, or zero. Explain. a. b. Determine whether 12+110/112 C₂ C₂ C₁ 1 ۱۹۹۲ 4711/7 3+1111 C
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Determine whether ∫c F•dr along the paths C1 and C2 shown in the following vector field is positive, negative, or zero.
Please give a detailed answer, noting any steps or formulas use for both parts.
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- A thin rod is bent into a half circle of radius R and centered on the y-axis so that it lies flat in the xy-plane as indicated in the diagram. This glass rod is rubbed all over with silk so that the rod has a total positive charge Q uniformly distributed over the length of the bent rod. Answer the following questions to determine the net electric field at an observation location A located on the positive z-axis a distance d from the origin. (See pic 1 for the following questions) A. Consider an infinitesimal piece of the glass rod located at an angle θ\thetaθ from the positive x-axis. Determine the relative position vector that points from this piece of the rod to the observation location. B. Derive an expression for the electric field dE⃗ of the infinitesimal piece dQ located at angle θ and integrate over the charge distribution to determine the net electric field E⃗ at the observation location. Your answer should only contain the given variables (R, Q, d) and known…e- enters 2.4 × 10−6 N/C field, point right. find magnitude and direction of accelerationAs shown below, a charged particle is moving through a region that has a uniform E-field (the red lines) and a uniform 17.3 T B-field. As a result of these two fields and the resulting forces (ignore gravity), the particle has a constant velocity of 328 m/s. A.) Determine the directions of F= & FB on the particle. Direction of F= Choose direction + Direction of FB Choose direction B.) Determine the magnitude of the E-field and the direction of the B-field. Assume that the B-field is perpendicular to the velocity. E = Direction of B: Choose direction
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