Five resistors are connected in a circuit as shown. Find the ammeter r...
Five resistors are connected in a circuit as shown. Find the ammeter r...
To find the ammeter reading in the given circuit, we need to analyze the circuit and calculate the total resistance. The ammeter reading will then be determined using Ohm's Law.
First, let's label the resistors in the circuit for easier reference:
Resistor 1: R1
Resistor 2: R2
Resistor 3: R3
Resistor 4: R4
Resistor 5: R5
Now, let's break down the circuit step by step:
1. Identify the resistors in series:
- R1 and R2 are connected in series since they share a common current path.
2. Calculate the equivalent resistance of resistors in series:
- To calculate the equivalent resistance of resistors in series, we add their resistance values.
- So, the equivalent resistance of R1 and R2 is given by: Rs = R1 + R2.
3. Identify the resistors in parallel:
- The combination of R3, R4, and R5 is connected in parallel to the series combination of R1 and R2.
4. Calculate the equivalent resistance of resistors in parallel:
- To calculate the equivalent resistance of resistors in parallel, we use the formula:
1/Rp = 1/R3 + 1/R4 + 1/R5
- Once we find the value of Rp, we can calculate the total resistance, Rt, which is given by: Rt = Rs + Rp.
5. Apply Ohm's Law to find the ammeter reading:
- Ohm's Law states that the current flowing through a circuit is equal to the voltage across the circuit divided by the resistance.
- In this case, the voltage across the circuit is not given, but we can assume it to be 1V for simplicity.
- So, the ammeter reading, I, can be calculated using the formula: I = V / Rt, where V is the voltage and Rt is the total resistance.
By following these steps, you can calculate the ammeter reading in the given circuit.
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