How Much Voltage Can Insulation Withstand Before Breaking?

[jamz100]

Homework Statement

A conductors in a cable are separated by a .35cm of insulation .

Homework Equations

Calculate the electric field strength within the insulation when the conductor voltage difference is 120v. Also determine the voltage@ which the insulation may break if its dielectric strength is 270kv/cm

The Attempt at a Solution

given
voltage----120v
conductor size ----.35cm
dielectric strength 270kv

 

[misgfool]

Homework Statement

A conductors in a cable are separated by a .35cm of insulation .

Homework Equations

Calculate the electric field strength within the insulation when the conductor voltage difference is 120v. Also determine the voltage@ which the insulation may break if its dielectric strength is 270kv/cm

The Attempt at a Solution

given
voltage----120v
conductor size ----.35cm
dielectric strength 270kv

Well that is an impressive attempt. Field strength can be calculated with a simple formula if we know voltage and distance between the conductors. Even dimension analysis might reveal that formula. Same formula will actually solve the second one too but this time the voltage is the variable.

 

[Mene]

/cm

To calculate the electric field strength within the insulation, we can use the equation E = V/d, where E is the electric field strength, V is the voltage, and d is the distance between the conductors. Plugging in the given values, we get E = (120v)/(.35cm) = 342.9 V/cm. This means that the electric field strength within the insulation is 342.9 V/cm.

To determine the voltage at which the insulation may break, we can use the equation V = Ed, where V is the voltage, E is the electric field strength, and d is the distance between the conductors. Plugging in the given values, we get V = (342.9 V/cm)*(0.35 cm) = 120.015 V. This means that the insulation may break at a voltage of approximately 120.015 V, which is close to the given voltage of 120 V. However, it is important to note that this is an estimated value and the actual voltage at which the insulation may break may vary depending on other factors such as temperature and material properties.

 

[piercas]

/cm

Based on the given information, we can calculate the electric field strength within the insulation using the formula E = V/d, where E is the electric field strength, V is the voltage, and d is the distance between the conductors. Plugging in the values, we get E = (120v) / (0.35cm) = 342.86 kV/cm.

To determine the voltage at which the insulation may break, we can use the formula V = Ed, where V is the breakdown voltage, E is the electric field strength, and d is the distance between the conductors. Plugging in the values, we get V = (342.86 kV/cm) * (0.35cm) = 120 kV. This means that if the voltage difference between the conductors reaches 120 kV, the insulation may break due to its dielectric strength of 270 kV/cm.

It is important to note that this calculation is based on ideal conditions and does not take into account factors such as temperature, humidity, and material properties which can affect the breakdown voltage. It is always important to follow safety guidelines and regulations when working with electrical systems to prevent accidents.