Question #223307

When a heating coil is immersed in melting ice, the ice melts at a rate of 10grams per minute. If the current in the coil is doubled while its resistance remains constant, the mass of ice that will melt per minute is?



Expert's answer

Q1=λm,Q_1=\lambda m,

Q2=I2Rt,Q_2=I^2Rt,

Q1=Q2,Q_1=Q_2,

λm=I2Rt,\lambda m=I^2Rt,

mI2,m\sim I^2,

m2=m1(2I)2I2=4m1=40 g.m_2=m_1\frac{(2I)^2}{I^2}=4m_1=40~g.


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