The circuit shown in the figure below is used to make a magnetic balance to weig
ID: 2261644 • Letter: T
Question
The circuit shown in the figure below is used to make a magnetic balance to weigh objects. The mass m to be measured is hung from the center of the bar, that is in the uniform magnetic field of 1.79 T, directed into the plane of the figure. The battery voltage can be adjusted to vary the current in the circuit. The horizontal bar is 59.1 cm long and is made of extremely light-weight material. It is connected to the battery by thin vertical wires that can support no appreciable tension; all the weight of the suspended mass m is supported by the magnetic force on the bar. A resistor with R = 5.00 ? is in series with the bar; the resistance of the rest of the circuit is much less than this.
The circuit shown in the figure below is used to make a magnetic balance to weigh objects. The mass m to be measured is hung from the center of the bar, that is in the uniform magnetic field of 1.79 T, directed into the plane of the figure. The battery voltage can be adjusted to vary the current in the circuit. The horizontal bar is 59.1 cm long and is made of extremely light-weight material. It is connected to the battery by thin vertical wires that can support no appreciable tension; all the weight of the suspended mass m is supported by the magnetic force on the bar. A resistor with R = 5.00 ? is in series with the bar; the resistance of the rest of the circuit is mu ch less than this.Explanation / Answer
B = 1.79 T
L = 0.591 m
R = 5 ohms
a)
to balance the object the magnetic force on bar should be upward.
so the current be in counter clockwise direction in the ckt.
so, a should be positive.
b)
when magnetic force on the wire is equal to weight of the hanged object it is balancedd.
m*g = B*i*L*sin(90)
m*g = B*(V/R)*L
m = B*V*L/(g*R) = 1.79*175*0.591/(9.8*5) = 3.778 kg
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