Pregunta
Complex numbers are used in electronics to describe the current in an electric circuit. Ohm’s law relates the currer
in a circuit,
formula
(Simplify vour answer. Type your answer in the form
in a circuit,
formula
(Simplify vour answer. Type your answer in the form
Ask by Little Dawson. in the United States
Feb 14,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
Solución
To find the voltage E, we use Ohm’s law: E = I × R, where I = 7 - 3i (amperes) and R = 6 + 4i (ohms).
Multiply the two complex numbers:
E = (7 - 3i)(6 + 4i).
Use the distributive property (FOIL):
= 7×6 + 7×4i - 3i×6 - 3i×4i
= 42 + 28i - 18i - 12i².
= 42 + 28i - 18i - 12i².
Recall that i² = -1, so substitute:
= 42 + 28i - 18i + 12
= (42 + 12) + (28i - 18i)
= 54 + 10i.
= (42 + 12) + (28i - 18i)
= 54 + 10i.
Thus, the voltage is 54 + 10i volts.
Respondido por UpStudy AI y revisado por un tutor profesional
Como
error msg
Explicar 
Simplifique esta solución Bonus Knowledge
To find the voltage
First, let’s multiply:
Using the distributive property (also known as the FOIL method for binomials):
Calculating each part:
-
-
-
-
. Remember that , so .
Now, combining these results:
Combining like terms:
- Real parts:
- Imaginary parts:
Thus, the expression simplifies to:
Therefore, the voltage of the circuit is:
¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde
Hazte Premium
