A parallel plate capacitor is charged to a potential difference of $V_c.$ While it is still connected to the battery a dielectric with dielectric constant $5\mathrm{.}0$ is inserted between the plates.

b$)$ Does the capacitance change? If so by what factor? $(2$pts$)$

c$)$ Does the potential difference $V_c$ change? If so by what factor? $(2$ pts $)$

d$)$ Does the capacitor charge $Q$ change? If so by what factor? $(2$ pts $)$

e$)$ Does the electric field strength $E$ change? If so by what factor? $(2$ pts$)$