A B C D E Please 4. According to Ohm\'s law, when a voltage of V volts is applie

Question

A B C D E Please 4. According to Ohm's law, when a voltage of V volts is applied across a resistor with a resistance of R ohms, a current of I-VIR amperes flows through the resistor. (Round answers to 5 decimal places) (a) How much (b) If the current flows if a voltage of 3.4 volts is applied across a resistance of 8.0 ohms? resistance varies by +0.1 ohm, and the voltage remains constant at 3.4 volts, what is the resulting range of values for the current? If temperature variations cause the resistance to vary by ± from its value of 8.0 ohms, and the voltage remains constant at 3.4 volts, what is the resulting range of values for the current? If the current is not al variation of ± from the value of 8.0 ohms is allowable? (c) (d) lowed to vary by more than 0.001 ampere at a voltage of 3.4 volts, what Certain alloys become superconductors as their temperature approaches absolute zero, meaning that their resistance approaches zero. If the voltage remains constant, what happens to the currert in a superconductor as R 0"? e) function of time (in weeks) ir nlotted as a

Explanation / Answer

A) I = Voltage/Resistance = 3.4/8 = 0.425 A

B) Rmax = 8 + 0.1 = 8.1 ohms

Rmin = 8 - 0.1 = 7.9 ohms

Imax = Voltage/Rmin = 3.4/7.9 = 0.4303A

Imin = Voltage/Rmax = 3.4/8.1 = 0.41975A

Hence the current varies from 0.41975A to 0.4303A

c)

Rmax = 8 + delta = (8+ delta) ohms

Rmin = 8 + delta = (8 - delta) ohms

Imax = Voltage/Rmin = 3.4/(8-delta)

Imin = Voltage/Rmax = 3.4/(8 + delta)

d) Imax = 0.425 + 0.001 = 0.426A

Resistance = V/Imax = 3.4/0.426 = 7.981 ohm

Hence the variation will be +/-0.020 ohms

e) The current will tend to infinity, i.e. the superconductor doesn't have any resistance

I = V/R = non-zero value/value tending to zero -> Infinity

Hence the current will tend to infinity

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