$(20$ Pts$)$

When switch S in figure below is open, the voltmeter V of the battery reads $3\mathrm{.}08$ V $.$ When the swicn is closed, the voltmeter reading drops to $2\mathrm{.}97$ V $,$ and the ammeter A reads $1\mathrm{.}65$ A $.$ Find the emf, the internal resistance of the battery, and the circuit resistance $R.$ Assume that the two meters are ideal, so they do not affect the circuit.