Respuesta :
Answer:
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.
[tex]V=2.50 = emf[/tex]
Let the internal resistance is r ohm.
We need to calculate the potential difference across internal resistance
Using formula of for potential difference
[tex]V_{r}=V-V'[/tex]
Put the value into the formula
[tex]V_{r}=2.50-1.75[/tex]
[tex]V_{r}=0.75\ V[/tex]
We need to calculate the circuit current
Using formula of current
[tex]i=\dfrac{V}{R}[/tex]
Put the value into the formula
[tex]i=\dfrac{1.75}{5.00}[/tex]
[tex]i=0.35\ A[/tex]
We need to calculate the internal resistance
Using formula of internal resistance
[tex]r=\dfrac{V_{r}}{i}[/tex]
Put the value into thew formula
[tex]r=\dfrac{0.75}{0.35}[/tex]
[tex]r=2.14\ ohm[/tex]
We need to calculate the current
Using formula of current
[tex]i=\dfrac{emf}{r+R}[/tex]
Put the value into the formula
[tex]i=\dfrac{2.50}{2.14+7.00}[/tex]
[tex]i=0.273\ A[/tex]
We need to calculate the potential difference
Using formula of voltage
[tex]V_{r}=ir[/tex]
Put the value into the formula
[tex]V_{r}=0.273\times2.14[/tex]
[tex]V_{r}=0.584\ V[/tex]
We need to calculate the terminal voltage
Using formula of terminal voltage
[tex]\text{terminal voltage}=emf-V_{r}[/tex]
Put the value into the formula
[tex]\text{terminal voltage}=2.50-0.584[/tex]
[tex]\text{terminal voltage}=1.916\ V[/tex]
Hence, The terminal voltage is 1.916 V.
