Let's say you have a 20 cm long silicon wire, with a diameter of 4 cm. What current flows through this wire if a 1000 V potential difference is applied to the two ends? Please enter your answer in the unit of mA. You can use 2300 Ohm.m for the resistivity of silicon.

Let's say you have a 20 cm long silicon wire, with a diameter of 4 cm. What current flows through this wire if a 1000 V potential difference is applied to the two ends? Please enter your answer in the unit of mA. You can use 2300 Ohm.m for the resistivity of silicon.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter21: Current And Direct Current Circuits

Section: Chapter Questions

Problem 9CQ

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Expert Solution

Step 1

Write the given values with suitable variables.

$\begin{array}{rcl} L & = & 20 cm \\ = & 0.2 m \\ r & = & \frac{(4 cm)}{2} \\ = & 0.02 m \\ V & = & 1000 V \\ ρ & = & 2300 Ω . m \end{array}$

Here, L denotes the length, r denotes the radius, V denotes the potential difference, and $ρ$ denotes the resistivity.

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