A research apparatus delivers charged droplets to a metallic node where three narrow…

PHYSICS · Multi-part · CBSE · Physics · Current Electricity · Current Electricity

Problem

A research apparatus delivers charged droplets to a metallic node where three narrow tubes meet. Measurements yield the following information for a particular instant: • In tube 1, charged droplets carrying net charge q1=25 μCq_1 = 25\,\mu\text{C} pass the node every 5.0 ms5.0\,\text{ms}, moving toward the node. • In tube 2, current I2=3.6 AI_2 = 3.6\,\text{A} exits the node. • In tube 3, current I3I_3 (magnitude and direction unknown) is monitored by a sensor downstream from the node. Assume the charge on the droplets in tube 1 is uniformly distributed in time. (a) Compute the electric current in tube 1 expressed in amperes. (b) Determine the magnitude and direction of the current I3I_3 in tube 3 at that instant. (c) If the droplet frequency in tube 1 were doubled while all other conditions remained unchanged, state quantitatively how I3I_3 would be affected and justify your reasoning.

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