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What would be the force exerted on a conductor 60 cm long carrying a current of 10 A, when placed at right angles to a magnetic field of flux density 3? a 1.8 ml. b 18 N C 36 N d 54 N

Question

What would be the force exerted on a conductor 60 cm long carrying a current of 10 A, when placed at right angles to a
magnetic field of flux density 3?
a
1.8 ml.
b
18 N
C
36 N
d 54 N

What would be the force exerted on a conductor 60 cm long carrying a current of 10 A, when placed at right angles to a magnetic field of flux density 3? a 1.8 ml. b 18 N C 36 N d 54 N

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MollyMaster · Tutor for 5 years

Answer

\( B : 18 \, N \)

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## Step 1: Import the formula<br />**The force exerted on a straight conductor by a magnetic field can be calculated using the formula**: <br />### **\[ F = I L B \sin \theta \]**<br />* \( F \) is the force,<br />* \( I \) is the current in the wire,<br />* \( L \) is the length of the wire,<br />* \( B \) is the magnetic field strength,<br />* \( \theta \) is the angle between the direction of the current and the direction of the magnetic field.<br /><br />## Step 2: Understand specifics of the question<br />According to this question, this conductor is at right angles to the magnetic field, meaning the angle (\( \theta \)) between the conductor and the field is 90 degrees. From trigonometry, we know that \( \sin 90 \) degrees equals to 1.<br /><br />## Step 3: Capture provided details.<br />The question provides the following important details:<br />* The length of the conductor (\( L \)) is 60 cm. But we want this to be in meters, because the standard unit of length in physics questions involving magnetic force is meter. So, \( L = 60 \times \left(\frac{1 m}{100 cm}\right) = 0.6 \) m.<br />* The current it carries (\( I \)) is 10 A.<br />* The strength of the magnetic field (\( B \)) is 3 T.<br /><br />## Step 4: Substitute details into the formula.<br />We can now replace all the values provided in the question into the formula and we have:<br />### **\[ F = 10 A * 0.6 m * 3 T * \sin(90 \, degrees) \]**<br /><br />## Step 5: Analysis Calculations to solve the problem.<br />Pluging these values into the formula: 10 A, 0.6 m, and 3 T , a force of 18 N is obtained.
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