Final answer:
To calculate the current flowing through the silicon rod, we need to use Ohm's law and find the resistance of the rod. The resistance depends on the resistivity of silicon (which is missing), the length of the rod, and its cross-sectional area. Without the resistivity, the exact current cannot be determined.
Step-by-step explanation:
To find the current flowing through a silicon rod when a voltage is applied, we must use Ohm's law (I = V/R), where I is the current, V is the voltage, and R is the resistance. First, we must calculate the resistance of the rod using the formula R = ρL/A, where ρ is the resistivity of silicon (which we need to know), L is the length of the rod, and A is the cross-sectional area.
The length of the rod (L) is provided as 20.0 cm, which converts to 0.200 m in SI units. The diameter of the rod is given as 2.54 cm, which must be converted to meters (0.0254 m) to calculate the area. Since the rod is cylindrical, its cross-sectional area (A) is found using A = πr², where r is the radius of the rod (half of the diameter).
Once we know the resistance, we can calculate the current (I) by rearranging Ohm's law to I = V/R, using the given voltage of 1.00 × 10³ V. It's crucial to note that specific information, such as the resistivity of silicon, is missing to complete this calculation. If this information were provided, we could carry out the calculation and find the resultant current.
Without the resistivity value, we cannot determine the exact current that flows through the rod. Generally, pure silicon has a relatively high resistivity compared to metals, which must be considered