25. Electric Potential

The x component of a uniform electric field is ${\mathrm{E}}_{\mathrm{x}}=12\mathrm{V}/\mathrm{m}$. What is the potential difference between ${\mathrm{x}}_{\mathrm{i}}=45\mathrm{m}$ and ${\mathrm{x}}_{\mathrm{f}}=12\mathrm{m}$?

The electric potential in a region of uniform electric field is $1200\mathrm{V}$ at $\mathrm{x}=-4.3\mathrm{m}$ and $2800\mathrm{V}$ at $\mathrm{x}=2.1\mathrm{m}$. What is ${\mathrm{E}}_{\mathrm{x}}$?

What is the speed of a proton that has been accelerated through $2300\mathrm{V}$?

A student wants to make a very small particle accelerator using a 9.0 V battery. What speed will (b) an electron have after being accelerated from rest through the 9.0 V potential difference?

A 3.0-cm-diameter parallel-plate capacitor has a 2.0 mm spacing. The electric field strength inside the capacitor is 1.0×10^5 V/m. a. What is the potential difference across the capacitor?

A 3.0-cm-diameter parallel-plate capacitor has a 2.0 mm spacing. The electric field strength inside the capacitor is 1.0×10^5 V/m. b. How much charge is on each plate?

Two 2.00 cm×2.00 cm plates that form a parallel-plate capacitor are charged to ±0.708 nC. What are the electric field strength inside and the potential difference across the capacitor if the spacing between the plates is (a) 1.00 mm and