Calculate the total energy developed in 5minutes by the system 1.2 in series 40ohms and 4.0ohms in series and a voltage of 12,
120
8640 j
To calculate the total energy developed by the system, we need to use the formula for calculating electrical energy:
Energy (E) = Power (P) x Time (T)
First, let's calculate the total resistance (R) of the circuit, which is the sum of the two resistors connected in series:
R = 40 ohms + 4.0 ohms
R = 44.0 ohms
Next, we need to calculate the total power (P) of the system, which can be calculated using Ohm's Law:
P = (V^2) / R
Given that the voltage (V) is 12 volts and the total resistance (R) is 44.0 ohms, we can calculate:
P = (12^2) / 44.0
P = 3.27 watts
Now, we can calculate the total energy developed by the system in 5 minutes:
T = 5 minutes = 5 * 60 = 300 seconds
E = P x T
E = 3.27 watts x 300 seconds
E = 981 watt-seconds or Joules
Therefore, the total energy developed in 5 minutes by the given system is 981 Joules.
To calculate the total energy developed by the system, we need to find the power developed and then multiply it by the time.
First, let's find the total resistance of the circuit. Since the resistors are in series, we add them together:
Total resistance (R) = 40 ohms + 4 ohms = 44 ohms
Now, let's find the current flowing through the circuit using Ohm's Law. Ohm's Law states that the current (I) is equal to the voltage (V) divided by the resistance (R):
Current (I) = Voltage (V) / Resistance (R)
Plugging in the given values:
Current (I) = 12 V / 44 ohms ≈ 0.27 A
Next, let's calculate the power developed by the circuit. The power (P) is given by the formula:
Power (P) = Current (I) * Voltage (V)
Plugging in the given values:
Power (P) = 0.27 A * 12 V ≈ 3.24 W
Now that we have the power, we can calculate the total energy developed by multiplying the power by the time:
Energy (E) = Power (P) * Time (t)
Since the time is given as 5 minutes, we need to convert it to seconds:
Time (t) = 5 minutes * 60 seconds/minute = 300 seconds
Now, we can calculate the total energy developed:
Energy (E) = 3.24 W * 300 s = 972 J
Therefore, the total energy developed by the system in 5 minutes is approximately 972 Joules.