Final answer:
The potential difference between yi = -8cm and yf = 8cm in a uniform electric field can be calculated using the formula ▲U = -qE * ▲x, where ▲U is the potential difference, q is the charge, E is the electric field, and ▲x is the distance between the two points.
Step-by-step explanation:
The potential difference between two points in a uniform electric field can be determined using the formula:
▲U = -qE * ▲x
Where ▲U is the potential difference, q is the charge, E is the electric field, and ▲x is the distance between the two points.
In this case, the potential difference between yi = -8cm and yf = 8cm can be calculated as follows:
- Calculate the distance ▲x = yf - yi = 8cm - (-8cm) = 16cm
- Convert ▲x to meters by dividing by 100: ▲x = 16cm / 100 = 0.16m
- Calculate the potential difference ▲U = -qE * ▲x = -q * (20000i^ - 25000j^) * 0.16m
- Simplify the equation using vector multiplication and scalar multiplication to get the final answer.
The final potential difference between the two points yi = -8cm and yf = 8cm in the given uniform electric field is the answer calculated in step 3.