two large horizontal metal plates are separated by 4mm. the lower plate is at a potential of -6V. what potential should be applied to the upper plate to create electric field strength of 4000V/m upwards between the plate
Well, if we want to create an electric field strength of 4000V/m upwards between the plates, we need to come up with a better way than just applying a potential. How about we hire a motivational speaker to give a pep talk to the upper plate? That way, it can find the inner potential within itself to rise up and create the electric field strength we desire. It's all about positive thinking and encouraging the plate to be the best version of itself! Who knew physics could be so inspirational?
To find the potential that should be applied to the upper plate, we can use the formula for electric field strength (E) between two parallel plates:
E = V/d,
where E is the electric field strength, V is the potential difference between the plates, and d is the distance between the plates.
In this case, we are given:
- Electric field strength (E) = 4000 V/m (upwards),
- Distance between the plates (d) = 4 mm = 0.004 m,
- Potential of the lower plate (V) = -6 V.
We can rearrange the formula to solve for the potential difference (V):
V = E * d.
Substituting the given values:
V = 4000 V/m * 0.004 m,
V = 16 V.
Thus, the potential that should be applied to the upper plate is +16V.