6. A 1500 MΩ resistor is placed across the terminals of a battery, and a terminal voltage of 2.50 V is measured. When this resistor is replaced with a 5.00 Ω resistor, the terminal voltage decreases to 1.75 V. Find the terminal voltage when a 7.00 Ω resistor is used. (1 point)

The terminal voltage is 1.916 V.

Explanation:

Given that,

Resistance = 1500 MΩ

Voltage V= 2.50 V

Decrease voltage V' = 1.75 V

Here, The resistance is very high so the current will be zero in the terminal.

So, the potential difference will be equal to the emf.

Let the internal resistance is r ohm.

We need to calculate the potential difference across internal resistance

Using formula of for potential difference

Put the value into the formula

We need to calculate the circuit current

Using formula of current

Put the value into the formula

We need to calculate the internal resistance

Using formula of internal resistance

Put the value into thew formula

We need to calculate the current

Using formula of current

Put the value into the formula

We need to calculate the potential difference

Using formula of voltage

Put the value into the formula

We need to calculate the terminal voltage

Using formula of terminal voltage

Put the value into the formula

Hence, The terminal voltage is 1.916 V.

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