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Consider three quantities x=E/B, y=√1/UoEo. And z= L/RC here L is lebgth and C is capacitance and R is resistance the show that x, y, z have same DIMENSIONS?
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Consider three quantities x=E/B, y=√1/UoEo. And z= L/RC here L is lebg...
Same Dimensional Analysis of x, y, and z
Defining x, y, and z
- x = E/B, where E is electric field strength and B is magnetic field strength
- y = √1/UoEo, where Uo is permeability of free space and Eo is permittivity of free space
- z = L/RC, where L is length, R is resistance, and C is capacitance
Dimensional Analysis of x, y, and z
- Dimension of E is [M L T^-3 A^-1]
- Dimension of B is [M T^-2 A^-1]
- Therefore, dimension of x is [M L T^-2]
- Dimension of Uo is [M L T^-2 A^-2] and dimension of Eo is [M^-1 L^-3 T^4 A^2]
- Therefore, dimension of y is [M^0 L^0 T^0 A^0]
- Dimension of L is [L], dimension of R is [M L^2 T^-3 A^-2], and dimension of C is [M^-1 L^-2 T^2 A^2]
- Therefore, dimension of z is [M^0 L^0 T^0 A^0]
Conclusion
As we can see, all three quantities x, y, and z have the same dimension of [M^0 L^0 T^0 A^0]. Therefore, they are all dimensionally equivalent.
Community Answer
Consider three quantities x=E/B, y=√1/UoEo. And z= L/RC here L is lebg...
V= E/B. by using QE=QVB ..AND C =1/√EU.AND.
Z=L/RC [ use ( Q=CV ) and V=IR and I=Q/T .and ] u got the answer ..hope it helps you
Z=L/RC [ use ( Q=CV ) and V=IR and I=Q/T .and ] u got the answer ..hope it helps you
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Consider three quantities x=E/B, y=√1/UoEo. And z= L/RC here L is lebgth and C is capacitance and R is resistance the show that x, y, z have same DIMENSIONS?
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Consider three quantities x=E/B, y=√1/UoEo. And z= L/RC here L is lebgth and C is capacitance and R is resistance the show that x, y, z have same DIMENSIONS? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Consider three quantities x=E/B, y=√1/UoEo. And z= L/RC here L is lebgth and C is capacitance and R is resistance the show that x, y, z have same DIMENSIONS? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider three quantities x=E/B, y=√1/UoEo. And z= L/RC here L is lebgth and C is capacitance and R is resistance the show that x, y, z have same DIMENSIONS?.
Consider three quantities x=E/B, y=√1/UoEo. And z= L/RC here L is lebgth and C is capacitance and R is resistance the show that x, y, z have same DIMENSIONS? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Consider three quantities x=E/B, y=√1/UoEo. And z= L/RC here L is lebgth and C is capacitance and R is resistance the show that x, y, z have same DIMENSIONS? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider three quantities x=E/B, y=√1/UoEo. And z= L/RC here L is lebgth and C is capacitance and R is resistance the show that x, y, z have same DIMENSIONS?.
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