Short Answer Questionsanswer The Following Questions As Com ✓ Solved

1. Describe how to determine that resistors are in parallel.

2. State the rules for current and voltage in a parallel circuit.

3. Describe the difference between a current source and a voltage source.

4. List and identify the three types of circuit commons.

Problems Complete the following problems.

1. Determine the values of the branch currents and the total current for the circuit shown in the following figure.

2. Determine the potentiometer setting required to set the total circuit current to 36 mA.

3. Find the total circuit current for the combination of branch currents: I1 = 1.5 mA, I2 = 3.3 mA, I3 = 17 mA.

4. Determine the branch current values for the circuit shown in the following figure.

5. Determine the maximum possible load power for the circuit shown in the following figure.

Paper For Above Instructions

The determination of whether resistors are in parallel involves examining their connection: if both terminals of each resistor are connected to the same two nodes, they are in parallel. In mathematical terms, resistors are said to be in parallel when the voltage across each resistor is the same. To confirm if they are in parallel, one can use a multimeter to measure the voltage across each resistor. If they show the same voltage, they are confirmed as being in parallel.

The rules for current and voltage in a parallel circuit are fundamental to circuit analysis. In a parallel circuit, the voltage across each element is the same regardless of the number of resistors present. This means that the total voltage across the circuit is equal to the voltage across each branch. Additionally, the current in a parallel circuit divides among the different paths according to the resistance values: the total current is the sum of the currents through each parallel branch. This leads to the equation I_total = I1 + I2 + I3..., where I_total is the total current and I1, I2, etc., are the individual branch currents.

Understanding current sources and voltage sources is key in electrical engineering. A current source is a device that delivers or absorbs an electric current that is independent of the voltage across its terminals, while a voltage source delivers a constant voltage across its terminals regardless of the current drawn from it. The behavior of these sources significantly affects circuit behavior. For example, in an ideal current source, if a load resistance changes, the current remains constant while the voltage adjusts accordingly. In contrast, an ideal voltage source maintains a constant voltage, and the current varies with the load resistance.

In electrical engineering, 'commons' refer to reference points in a circuit which can be understood in various ways. The three types of circuit commons are the ground common, signal common, and power common. The ground common is often used as a reference point for voltages in a circuit. The signal common serves as a return path for alternating signals, while power common is typically used for the return path of a power supply.

Moving to problems involving circuit analysis, let’s consider an example with branch currents. Suppose we are provided with three branch currents where I1 = 1.5 mA, I2 = 3.3 mA, and I3 = 17 mA. To find the total current (I_total) for this combination, we add the individual currents: I_total = I1 + I2 + I3 = 1.5 mA + 3.3 mA + 17 mA = 21.8 mA. This total current is essential for understanding the load on the source and the behavior of the overall circuit.

Another problem involves determining the required potentiometer setting to establish a desired total current of 36 mA in a circuit. This requires understanding the total resistance and the voltage provided by the circuit source. By applying Ohm's Law (V = IR), one can calculate the required resistance using the formula R = V/I, where R is the resistance, V is the voltage from the source, and I is the desired current.

In determining maximum load power, one would use the formula P = I²R, where P symbolizes power, I denotes the current through the load, and R represents the load resistance. This calculation helps in designing circuits that can operate efficiently without exceeding power ratings of components.

In summary, comprehending how to identify parallel resistors, the rules governing current and voltage in such circuits, and the characteristics of voltage and current sources is essential for effective circuit design and analysis. Furthermore, practical problems regarding branch currents, potentiometer settings, and maximum load power reinforce these theoretical underpinnings.

References

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