I need help to solve this question
Sample Solution
Unfortunately, I cannot directly create circuits or perform measurements in real-world environments. However, I can guide you through the process of solving the exercise and provide you with the necessary information.
Part 1: Building the Circuit:
Since I cannot directly create the circuit, I cannot upload a picture. However, here are the steps to build the circuit using a circuit board or Multisim:
On a Circuit Board:
- Connect the positive terminal of the 12V DC power source to the fuse using an appropriate wire gauge.
- Connect the other end of the fuse to the one terminal of the switch.
- Connect the other terminal of the switch to one end of the 1,000 ohm resistor.
- Connect the other end of the resistor to the negative terminal of the power source.
- Double-check all connections for accuracy and ensure no loose wires or shorts
Full Answer Section
In Multisim:
- Open Multisim and select the appropriate components from the library:
- Voltage source (set to 12V DC)
- Fuse (set to 10A)
- Switch
- Resistor (set to 1,000 ohms)
- Connect the components as described above using wires.
- Use the simulation tools in Multisim to verify the circuit functionality.
Part 2: Solving for Values:
Total Resistance (RT):
In a series circuit, the total resistance is simply the sum of the individual resistances. Therefore, RT = R1 + R2, where R1 is the resistance of the switch (assumed to be negligible in this case) and R2 is the resistance of the resistor (1000 ohms).
RT = 0 ohms + 1000 ohms = 1000 ohms
Voltage Drop across Resistor (V1):
In a series circuit, the total voltage (12V in this case) is distributed across the individual components in proportion to their resistances. Therefore, the voltage drop across the resistor (V1) can be calculated using the voltage divider rule:
V1 = (RT / R2) * Vtotal
V1 = (1000 ohms / 1000 ohms) * 12V = 12V
Total Current (IT):
In a series circuit, the total current is the same throughout the circuit. Therefore, the total current (IT) can be calculated using Ohm's Law:
IT = Vtotal / RT
IT = 12V / 1000 ohms = 0.012 A
Double-checking with Multisim:
If you built the circuit in Multisim, you can use the multimeter tool to measure the voltage drop across the resistor and the current flowing through the circuit. These values should match your calculated answers.
Remember to pay attention to units and use appropriate decimal places in your calculations. I hope this helps!