Final answer:
By applying Ohm's law (I = V/R), we find that the current flowing through a glass insulator of resistance 1.00×10^9 Ω with a voltage of 200 kV is 2.00×10^-7 A.
Step-by-step explanation:
To calculate the current that flows through a glass insulator in a high-voltage power transmission line, we can use Ohm's law. Ohm's law states that the current (I) through a conductor between two points is directly proportional to the voltage (V) across the two points, and inversely proportional to the resistance (R) of the conductor. The formula is given by I = V/R.
In this instance, the resistance of the glass insulator is given as 1.00×109 Ω, and the voltage is 200 kV (or 200,000 volts). By applying Ohm's law, we can find the current:
I = V/R = 200,000 V / 1.00×109 Ω = 2.00×10-7 A
Therefore, the current that flows through the insulator is 2.00×10-7 amperes.