Respuesta :
[tex]\bf{ \underline{Given:- }}[/tex]
[tex] \sf• \: There \: is\: a \: circuit \: with\: 15 \: amps. \: (bedroom) \: of \: current \: and \: a \: bedroom \: light \: with \: 12\: ohms\: of \: resistance.[/tex]
[tex] \\ [/tex]
[tex]\bf{ \underline{To \: Find :- }}[/tex]
[tex] \sf{• \: The \: Voltage\: of\: the\: circuit. }[/tex]
[tex] \\ [/tex]
[tex] \huge\bf{ \underline{ Solution:- }}[/tex]
[tex] \sf According \: to \: the \: question, [/tex]
[tex] \sf• \: Current \: (I) = 15 \: Amps.[/tex]
[tex] \sf• \: Resistance \: (R) = 12 \: Ω[/tex]
[tex] \sf{We \: know \: that, }[/tex]
[tex] \bf \red{ \bigstar{ \: V = IR }}[/tex]
[tex] \rightarrow \sf V =15 \times 12[/tex]
[tex] \rightarrow \sf V =180[/tex]
[tex] \\ [/tex]
[tex] \sf \purple{Therefore, \: the \: voltage \: of \: the \: circuit \: is \: 180 \: v \: .}[/tex]
Considering the Ohm's law, the voltage of a circuit with 15 amps (bedroom) of current and a bedroom light with 12 ohms of resistance is 180 volts.
Current is the physical quantity that expresses the amount of electricity that flows through a conductor in the unit of time and is measured in amperes
The voltage is the difference that exists between the electrical charge that leaves the source and with which it finally reaches the end of the circuit. It is expressed in volts.
Resistance is the difficulty that a circuit opposes to the passage of a current. They are measured in ohms.
Ohm's law establishes the relationship between current, voltage, and resistance in an electrical circuit. This law establishes that the current through a circuit is directly proportional to its voltage or voltage and inversely proportional to the resistance it presents.
Mathematically Ohm's law is expressed as:
[tex]I=\frac{V}{R}[/tex]
Where I is the intensity that is measured in amps (A), V the voltage that is measured in volts (V); and R is the resistance measured in ohms (Ω).
In this case, you know:
- I= 15 amps
- V=?
- R= 12 ohms
Replacing in Ohm's law:
[tex]15 amps=\frac{V}{12 ohms}[/tex]
Solving:
V= 15 amps× 12 ohms
V=180 volts
In summary, the voltage of a circuit with 15 amps (bedroom) of current and a bedroom light with 12 ohms of resistance is 180 volts.
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