Your voltage division isn't taking into account the impedance of the 10Ω and -5j capacitor branch that's also connected at the Vx node. You might try applying nodal analysis to find Vx...Ammar w said:Homework Statement
Hi,
We have this cut. :
and in the image below, I10 is calculated by using current division :
The Attempt at a Solution
I tried to find it using voltage division but the answer is wrong :
Vx(of the upper node) = 100 * [tex]\frac{j5}{4+j5}[/tex] = 60.98 + j48.78 V
=> I10 = [tex]\frac{Vx}{10 - j5}[/tex] = 2.93 + 6.34 = 6.98 [itex]\ 65.2[/itex]
which is wrong, WHY?
Voltage division in an AC circuit is a method used to find the individual voltage drops across different components in a circuit. It is based on the principle that the total voltage in a series circuit is divided among the different components in proportion to their resistance or impedance.
Voltage division is calculated using the voltage divider formula, which states that the voltage across a component is equal to the ratio of its resistance to the total resistance in the circuit, multiplied by the total voltage. This can also be expressed as Vn = (Rn/Rtotal) * Vtotal, where Vn is the voltage across the specific component and Rn is its resistance.
No, voltage division is not applicable in parallel AC circuits. In a parallel circuit, the total voltage remains constant across all components, and the voltage drops are determined by the individual resistances. Therefore, the concept of voltage division does not apply in this case.
Voltage division is commonly used in electronic circuits to regulate voltage levels and control the amount of voltage supplied to specific components. It is also used in electrical power distribution systems to ensure that the appropriate voltage is delivered to different devices.
The voltage division in an AC circuit can be affected by the resistance or impedance values of the components, the frequency of the AC signal, and the presence of inductors or capacitors in the circuit. It is also important to consider the accuracy and precision of the components used in the circuit when calculating voltage division.