current through the circuit

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Question:**    
A 4.0 V battery is connected to a circuit with a resistance of 10 Ω. What will be the current through the circuit?

**Explanation:**
The image is a question regarding basic electrical circuit analysis, specifically using Ohm’s Law.

**Ohm's Law Explanation:**
Ohm’s Law states that the current (I) through a circuit is directly proportional to the voltage (V) across the circuit and inversely proportional to the resistance (R) of the circuit. The relationship is given by the formula:

\[ I = \frac{V}{R} \]

Where:  
\( I \) = Current (Amperes, A)  
\( V \) = Voltage (Volts, V)  
\( R \) = Resistance (Ohms, Ω)

**Given Data:**
- Voltage (\( V \)) = 4.0 V
- Resistance (\( R \)) = 10 Ω

**Calculation:**
Using the formula from Ohm's Law:

\[ I = \frac{4.0\, \text{V}}{10\, \text{Ω}} \]

\[ I = 0.4\, \text{A} \]

**Answer:**
The current through the circuit will be 0.4 Amperes (A).

**Instructions for Users:**
- For detailed steps and verification, click the "Show Your Work" button.
- You can input your answer or additional work for comments or review in the provided text box below.
Transcribed Image Text:**Question:** A 4.0 V battery is connected to a circuit with a resistance of 10 Ω. What will be the current through the circuit? **Explanation:** The image is a question regarding basic electrical circuit analysis, specifically using Ohm’s Law. **Ohm's Law Explanation:** Ohm’s Law states that the current (I) through a circuit is directly proportional to the voltage (V) across the circuit and inversely proportional to the resistance (R) of the circuit. The relationship is given by the formula: \[ I = \frac{V}{R} \] Where: \( I \) = Current (Amperes, A) \( V \) = Voltage (Volts, V) \( R \) = Resistance (Ohms, Ω) **Given Data:** - Voltage (\( V \)) = 4.0 V - Resistance (\( R \)) = 10 Ω **Calculation:** Using the formula from Ohm's Law: \[ I = \frac{4.0\, \text{V}}{10\, \text{Ω}} \] \[ I = 0.4\, \text{A} \] **Answer:** The current through the circuit will be 0.4 Amperes (A). **Instructions for Users:** - For detailed steps and verification, click the "Show Your Work" button. - You can input your answer or additional work for comments or review in the provided text box below.
**Question: Explain how you can make an electromagnet?**

**Answer:**
To make an electromagnet, you will need a few simple materials: a battery, a piece of iron or steel (such as a nail or bolt), and some insulated copper wire. Here are the steps to create your electromagnet:

1. **Prepare the Wire:** Start by stripping the insulation from both ends of the copper wire to expose the metal.

2. **Wrap the Wire:** Tightly coil the insulated copper wire around the iron or steel object (like a nail). Ensure you leave enough wire free at each end to connect to the battery.

3. **Connect to the Battery:** Attach one end of the wire to the positive terminal of the battery and the other end to the negative terminal. You can use tape or alligator clips to secure the connections.

4. **Activate the Electromagnet:** Once connected, the electrical current from the battery will flow through the wire, creating a magnetic field around the iron or steel object, turning it into an electromagnet.

**Note:** Be cautious when handling the electromagnet, as the wire may heat up when connected to the battery for prolonged periods. Disconnect the battery when not in use to conserve power and prevent overheating.

Electromagnets are widely used in various devices such as electric bells, relays, and motors due to their ability to be easily turned on and off with the flow of electric current.
Transcribed Image Text:**Question: Explain how you can make an electromagnet?** **Answer:** To make an electromagnet, you will need a few simple materials: a battery, a piece of iron or steel (such as a nail or bolt), and some insulated copper wire. Here are the steps to create your electromagnet: 1. **Prepare the Wire:** Start by stripping the insulation from both ends of the copper wire to expose the metal. 2. **Wrap the Wire:** Tightly coil the insulated copper wire around the iron or steel object (like a nail). Ensure you leave enough wire free at each end to connect to the battery. 3. **Connect to the Battery:** Attach one end of the wire to the positive terminal of the battery and the other end to the negative terminal. You can use tape or alligator clips to secure the connections. 4. **Activate the Electromagnet:** Once connected, the electrical current from the battery will flow through the wire, creating a magnetic field around the iron or steel object, turning it into an electromagnet. **Note:** Be cautious when handling the electromagnet, as the wire may heat up when connected to the battery for prolonged periods. Disconnect the battery when not in use to conserve power and prevent overheating. Electromagnets are widely used in various devices such as electric bells, relays, and motors due to their ability to be easily turned on and off with the flow of electric current.
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