https://r2.erweima.ai/mathbot/image/1725484563600h1f52rhc.jpg

The exercise in the image focuses on **Ohm's Law** and **Electric Power/Energy** calculations. Let's break down the two tasks:

### 1. First Task:
- **Enunciado**: Encontrar los valores faltantes y la energía consumida en el tiempo \( t = 30 \, \text{min} \).
- **Circuit Scheme**: There is a 20V voltage source and a resistor \( R_1 = 500 \, \Omega \).

#### Steps to Solve:
1. **Current Calculation using Ohm's Law**:
   \[
   I = \frac{V}{R} = \frac{20}{500} = 0.04 \, \text{A}
   \]
2. **Power Calculation**:
   Power \( P \) is calculated using:
   \[
   P = V \cdot I = 20 \cdot 0.04 = 0.8 \, \text{W}
   \]
3. **Energy Consumption**:
   Energy \( E \) is calculated as:
   \[
   E = P \cdot t = 0.8 \, \text{W} \cdot (30 \times 60) \, \text{s} = 1440 \, \text{J}
   \]

---

### 2. Second Task:
- **Enunciado**: Encontrar los valores faltantes y la energía consumida en el tiempo \( t = 5400 \, \text{s} \).
- **Circuit Scheme**: The voltage source remains 20V, but the resistor now is \( R_2 = 2 \, \text{k}\Omega \), with a measured current of 7.5 mA.

#### Steps to Solve:
1. **Voltage Calculation** (given current and resistance):
   Using Ohm’s law:
   \[
   V = I \cdot R = 0.0075 \, \text{A} \cdot 2000 \, \Omega = 15 \, \text{V}
   \]
2. **Power Calculation**:
   \[
   P = V \cdot I = 15 \cdot 0.0075 = 0.1125 \, \text{W}
   \]
3. **Energy Consumption**:
   \[
   E = P \cdot t = 0.1125 \, \text{W} \cdot 5400 \, \text{s} = 607.5 \, \text{J}
   \]

---

Would you like further details or explanations on any part of this solution?

### Related Questions:
1. How does Ohm's law apply to resistive circuits?
2. What is the relationship between power, voltage, and current?
3. How do you calculate energy consumption in a circuit?
4. What happens to power when resistance increases but the voltage remains constant?
5. How can you measure energy in other forms of electrical circuits?

### Tip:
Always ensure that time is converted into seconds when calculating energy, as power is typically given in watts (joules per second).

Find the missing values and energy consumption for a given time in two different circuit setups. The first setup involves a 20V voltage source and a 500Ω resistor for t = 30 minutes. The second setup has a 20V voltage source, a 2kΩ resistor, and a measured current of 7.5mA for t = 5400 seconds.

Learn how to find missing electrical values and calculate energy consumption in circuits using Ohm's Law. This problem involves a 20V source and resistors of 500Ω and 2kΩ with different time durations. Suitable for high school physics students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation