When you connect an unknown resistor across the terminals of a 1.50 V AAA battery having negligible internal resistance, you measure a current of 17.1 mA flowing through it.
A. What is the resistance of this resistor?
B.If you now place the resistor across the terminals of a 12.9 V car battery having no internal resistance, how much current will flow?
C.You now put the resistor across the terminals of an unknown battery of negligible internal resistance and measure a current of 0.456 A flowing through it. What is the potential difference across the terminals of the battery?

Respuesta :

Answer:

(a). The resistance of this resistor is 87.72 Ω.

(b). The current is 0.147 A.

(c). The  potential difference across the terminals of the battery is 40 volt.

Explanation:

Given that,

Voltage = 1.50 V

Current = 17.1 mA

(a). We need to calculate the resistance of this resistor

Using ohm's law

[tex]V=IR[/tex]

[tex]R=\dfrac{V}{I}[/tex]

Put the value into the formula

[tex]R=\dfrac{1.50}{17.1\times10^{-3}}[/tex]

[tex]R=87.72\ \Omega[/tex]

(b). If you now place the resistor across the terminals of a 12.9 V car battery having no internal resistance,

We need to calculate the current

Using ohm's law

[tex]V=IR[/tex]

[tex]I=\dfrac{V}{R}[/tex]

Put the value into the formula

[tex]I=\dfrac{12.9}{87.72}[/tex]

[tex]I=0.147\ A[/tex]

(c). The resistor across the terminals of an unknown battery of negligible internal resistance and measure a current of 0.456 A flowing through it.

We need to calculate the potential difference across the terminals of the battery

Using formula of potential difference

[tex]V=IR[/tex]

Put the value into the formula

[tex]V=0.456\times87.72[/tex]

[tex]V=40\ volt[/tex]

Hence, (a). The resistance of this resistor is 87.72 Ω.

(b). The current is 0.147 A.

(c). The  potential difference across the terminals of the battery is 40 volt.